New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method

In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also g...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics and nonlinear sciences Vol. 4; no. 1; pp. 129 - 138
Main Authors Baskonus, Haci Mehmet, Bulut, Hasan, Sulaiman, Tukur Abdulkadir
Format Journal Article
LanguageEnglish
Published Beirut Sciendo 25.06.2019
De Gruyter Poland
Subjects
Online AccessGet full text

Cover

Loading…
Abstract In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also give the 3D and 2D graphics of all the obtained solutions which are explaining new properties of model considered in this paper. Finally, we submit a comprehensive conclusion at the end of this paper.
AbstractList In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions to one of the popular nonlinear evolution equations that arises in the field of mathematical physics, namely; longren-wave equation. We also give the 3D and 2D graphics of all the obtained solutions which are explaining new properties of model considered in this paper. Finally, we submit a comprehensive conclusion at the end of this paper.
Author Baskonus, Haci Mehmet
Bulut, Hasan
Sulaiman, Tukur Abdulkadir
Author_xml – sequence: 1
  givenname: Haci Mehmet
  surname: Baskonus
  fullname: Baskonus, Haci Mehmet
  organization: Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey
– sequence: 2
  givenname: Hasan
  surname: Bulut
  fullname: Bulut, Hasan
  organization: Department of Mathematics, Firat University, Elazig, Turkey
– sequence: 3
  givenname: Tukur Abdulkadir
  surname: Sulaiman
  fullname: Sulaiman, Tukur Abdulkadir
  organization: Department Mathematics, Federal University Dutse, Jigawa, Nigeria
BookMark eNqlkE1P3DAQhq2KSqXAD-jNUs_ZemzH61wqodUWkBY4bFGPluNMlqBgB9sB9t83yyK1qlQunGY08z7z8X4mBz54JOQLsBmXc_3t9PJqPeMMqhnMGGMgPpBDLqUstCrVwV_5J3KS0t0k4QKEUvyQ4BU-0UW4H3p8pufbAWMd-s7RdY6jy2PERHOg-RbpKni_ieiLX_YR6fJhtLkLntZbepM6v6HrzmNxFmIzFZfPg_Vp177EfBuaY_KxtX3Ck9d4RG5-LH8uzovV9dnF4nRVOFGqXDSlgsqVSjGnSldDzVUrhALHGqnnWjItRO0aLbXkYLnVDW8lVq1UTs_t9NIR-bqfO8TwMGLK5i6M0U8rjYAKuFBc6kk136tcDClFbI3r8ss3OdquN8DMzlazs9XsbDVgXmydSPiHHGJ3b-P2Teb7nnmyfcbY4CaO2yn5c9p_WQkg4Z0DeCV-A4pOo4o
CitedBy_id crossref_primary_10_32604_cmc_2022_032087
crossref_primary_10_1140_epjp_i2019_13037_9
crossref_primary_10_1155_2023_4348758
crossref_primary_10_1515_phys_2020_0108
crossref_primary_10_1007_s40096_023_00509_0
crossref_primary_10_3934_math_2024878
crossref_primary_10_1088_1402_4896_ab68be
crossref_primary_10_1142_S0218348X22400886
crossref_primary_10_3934_math_20241377
crossref_primary_10_32604_cmes_2022_021865
crossref_primary_10_3390_math12142242
crossref_primary_10_1007_s11082_022_04530_w
crossref_primary_10_1016_j_padiff_2023_100583
crossref_primary_10_1142_S021798492550085X
crossref_primary_10_1007_s12043_024_02876_2
crossref_primary_10_1007_s10773_024_05768_8
crossref_primary_10_32604_cmc_2022_021462
crossref_primary_10_1016_j_cjph_2023_08_013
crossref_primary_10_46460_ijiea_1141361
crossref_primary_10_2478_amns_2021_2_00076
crossref_primary_10_1515_nleng_2021_0030
crossref_primary_10_1007_s12043_019_1897_x
crossref_primary_10_1142_S0217984921504844
crossref_primary_10_1140_epjp_s13360_022_02619_5
crossref_primary_10_1080_15502287_2021_1910750
crossref_primary_10_1142_S0218348X22400771
crossref_primary_10_3390_axioms12050456
crossref_primary_10_3934_mbe_2022030
crossref_primary_10_1016_j_heliyon_2021_e06910
crossref_primary_10_1016_j_ijleo_2021_168510
crossref_primary_10_35193_bseufbd_833244
crossref_primary_10_3390_math11112583
crossref_primary_10_1016_j_rinp_2020_103696
crossref_primary_10_11948_20220019
crossref_primary_10_1016_j_rinp_2020_103330
crossref_primary_10_1016_j_rinp_2023_106306
crossref_primary_10_1016_j_physleta_2022_128123
crossref_primary_10_32604_cmc_2022_028921
crossref_primary_10_1142_S021798492450132X
crossref_primary_10_3390_fractalfract7050350
crossref_primary_10_1016_j_rinp_2024_107621
crossref_primary_10_1088_1402_4896_ab5c89
crossref_primary_10_1142_S0218348X22400904
crossref_primary_10_1371_journal_pone_0297357
crossref_primary_10_2478_amns_2020_1_00029
crossref_primary_10_1142_S0218863523500273
crossref_primary_10_1016_j_wavemoti_2024_103409
crossref_primary_10_1098_rspa_2021_0438
crossref_primary_10_1142_S0218348X22400588
crossref_primary_10_3934_math_20221101
crossref_primary_10_3934_math_2023126
crossref_primary_10_1016_j_ijleo_2021_166294
crossref_primary_10_3934_mbe_2021268
crossref_primary_10_1016_j_padiff_2021_100042
crossref_primary_10_2478_amns_2021_2_00091
crossref_primary_10_1007_s11082_023_05434_z
crossref_primary_10_1016_j_rinp_2023_106537
crossref_primary_10_1088_1402_4896_ada3f5
crossref_primary_10_1142_S0218348X22501523
crossref_primary_10_3390_axioms10030192
crossref_primary_10_1142_S021798492450341X
crossref_primary_10_2478_amns_2020_1_00035
crossref_primary_10_1016_j_joes_2022_05_011
crossref_primary_10_1142_S0218348X22400916
crossref_primary_10_3389_fphy_2020_00062
crossref_primary_10_1016_j_ijcce_2021_11_002
crossref_primary_10_1016_j_csite_2021_101193
crossref_primary_10_1142_S0218348X22400631
crossref_primary_10_1142_S0217984921501839
crossref_primary_10_1016_j_aej_2023_12_052
crossref_primary_10_1142_S0217984924504347
crossref_primary_10_1007_s11082_024_07211_y
crossref_primary_10_1142_S0217984924503019
crossref_primary_10_3390_axioms12040354
crossref_primary_10_1007_s11277_021_08446_8
crossref_primary_10_3390_fractalfract5040170
crossref_primary_10_1142_S0217979220501520
crossref_primary_10_1515_phys_2022_0013
crossref_primary_10_1016_j_padiff_2023_100491
crossref_primary_10_1142_S0218348X22400990
crossref_primary_10_1002_mma_6847
crossref_primary_10_55071_ticaretfbd_1285053
crossref_primary_10_11948_20200080
crossref_primary_10_2478_amns_2021_2_00086
crossref_primary_10_1007_s40747_021_00387_w
crossref_primary_10_1007_s11082_024_06626_x
crossref_primary_10_1371_journal_pone_0265064
crossref_primary_10_1016_j_iswa_2023_200243
crossref_primary_10_1142_S0218348X22400606
crossref_primary_10_3390_math11040835
crossref_primary_10_2478_ijmce_2024_0006
crossref_primary_10_1142_S0218348X22401016
crossref_primary_10_1515_ijnsns_2021_0161
crossref_primary_10_3390_axioms11090445
crossref_primary_10_1007_s11082_024_06357_z
crossref_primary_10_1140_epjp_s13360_023_03804_w
crossref_primary_10_1142_S0218348X22400965
crossref_primary_10_1515_phys_2023_0205
crossref_primary_10_1016_j_rinp_2020_103762
crossref_primary_10_1088_1402_4896_ab81bf
crossref_primary_10_1007_s13369_024_09195_z
crossref_primary_10_32604_cmc_2022_027523
crossref_primary_10_1007_s00500_022_07065_0
crossref_primary_10_1088_1572_9494_aba25f
crossref_primary_10_2478_amns_2023_1_00025
crossref_primary_10_3390_sym12010097
crossref_primary_10_1155_2024_6420467
crossref_primary_10_1142_S0218348X22401090
crossref_primary_10_1016_j_matcom_2020_09_016
crossref_primary_10_32604_cmc_2023_029046
crossref_primary_10_18185_erzifbed_881743
crossref_primary_10_1007_s11082_021_03031_6
crossref_primary_10_1142_S0218348X22400576
crossref_primary_10_1155_2022_1555198
crossref_primary_10_3390_fractalfract5040277
crossref_primary_10_1142_S0218348X22400734
crossref_primary_10_1142_S0217984924503676
crossref_primary_10_1142_S0218348X24500919
crossref_primary_10_1007_s40819_020_0768_y
crossref_primary_10_1016_j_rinp_2021_105137
crossref_primary_10_1016_j_aej_2020_06_015
crossref_primary_10_2478_amns_2021_2_00022
crossref_primary_10_1007_s11082_023_04870_1
crossref_primary_10_1142_S0218348X23500883
crossref_primary_10_2298_TSCI200331247B
crossref_primary_10_3389_fphy_2019_00197
crossref_primary_10_1016_j_padiff_2024_100923
crossref_primary_10_1142_S0218348X22400709
crossref_primary_10_1080_17455030_2020_1831711
crossref_primary_10_1016_j_rinp_2021_104910
crossref_primary_10_1007_s11182_021_02422_2
crossref_primary_10_1016_j_aej_2022_09_034
crossref_primary_10_1080_00207160_2023_2248286
crossref_primary_10_2478_amns_2020_2_00074
crossref_primary_10_1016_j_padiff_2024_101051
crossref_primary_10_1142_S021988782250075X
crossref_primary_10_1007_s11082_024_06465_w
crossref_primary_10_1016_j_rinp_2023_106576
crossref_primary_10_3390_math13050714
crossref_primary_10_3934_math_20241123
crossref_primary_10_25092_baunfbed_1395997
crossref_primary_10_1142_S0217979221502131
crossref_primary_10_32604_cmc_2022_029166
crossref_primary_10_1016_j_chaos_2021_111347
crossref_primary_10_1007_s11082_023_06051_6
crossref_primary_10_26782_jmcms_2023_07_00003
crossref_primary_10_1134_S0965542523080067
crossref_primary_10_1007_s11082_021_03091_8
crossref_primary_10_1142_S0218348X22400679
crossref_primary_10_1007_s11082_023_05564_4
crossref_primary_10_1140_epjp_s13360_021_01924_9
crossref_primary_10_3390_fractalfract7110809
crossref_primary_10_1016_j_aej_2020_06_031
crossref_primary_10_1016_j_joes_2022_04_024
crossref_primary_10_1016_j_rinp_2023_106602
crossref_primary_10_32604_cmc_2022_029437
crossref_primary_10_1080_17455030_2021_1979691
crossref_primary_10_1115_1_4050677
crossref_primary_10_32604_cmc_2023_034362
crossref_primary_10_1016_j_arabjc_2023_104706
Cites_doi 10.1016/S0375-9601(96)00770-0
10.1016/j.physa.2016.05.013
10.21042/AMNS.2018.1.00001
10.1016/j.amc.2011.02.098
10.25073/jaec.201824.225
10.1063/1.4972610
10.5121/csit.2018.80611
10.1080/17455030.2015.1062577
10.21042/AMNS.2017.1.00006
10.11121/ijocta.01.2017.00495
10.7212/zkufbd.v8i2.1121
10.1016/j.spmi.2018.01.008
10.1515/phys-2016-0006
10.1016/j.joems.2013.12.011
10.1051/itmconf/20182201061
10.21042/AMNS.2018.1.00019
10.7498/aps.48.1
10.1186/s13662-015-0610-8
10.3390/axioms8010018
10.1080/17455030.2015.1080392
10.1016/j.cam.2016.05.035
10.1007/s40995-017-0292-z
10.1016/S0375-9601(98)00956-6
10.1155/2018/9059858
10.23918/eajse.v4i2p1
10.1080/23311940.2016.1240886
10.1155/2013/742643
10.1016/0022-247X(75)90078-5
10.21042/AMNS.2017.2.00032
10.21042/AMNS.2016.2.00040
10.1063/1.523393
10.1051/itmconf/20182201023
10.1007/s11082-018-1406-3
10.1007/s12648-018-1204-6
10.33899/csmj.2012.163715
10.1016/j.amc.2006.10.075
10.1080/09205071.2017.1362361
10.21042/AMNS.2018.1.00018
10.1016/j.camwa.2017.06.020
10.1016/j.rinp.2017.06.014
10.1140/epjp/i2018-12085-y
10.1002/mma.4081
10.1016/j.chaos.2004.05.003
10.21042/AMNS.2016.2.00026
10.1016/j.camwa.2014.12.011
10.1016/j.physleta.2005.10.054
10.1051/itmconf/20182201064
10.1007/s12648-018-1322-1
10.1016/j.camwa.2015.11.006
10.1051/itmconf/20182201036
10.1140/epjp/i2018-11858-6
10.1007/s11082-017-1181-6
10.1007/s11071-016-2880-4
10.3390/mca21020006
10.1016/j.ijleo.2018.03.123
ContentType Journal Article
Copyright 2019. This work is published under http://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2019. This work is published under http://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID AAYXX
CITATION
ABUWG
AFKRA
AZQEC
BENPR
CCPQU
DWQXO
PHGZM
PHGZT
PIMPY
PKEHL
PQEST
PQQKQ
PQUKI
PRINS
DOI 10.2478/AMNS.2019.1.00013
DatabaseName CrossRef
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
ProQuest Central Essentials
ProQuest Central
ProQuest One
ProQuest Central Korea
ProQuest Central Premium
ProQuest One Academic (New)
Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
DatabaseTitle CrossRef
Publicly Available Content Database
ProQuest One Academic Middle East (New)
ProQuest Central Essentials
ProQuest One Academic Eastern Edition
ProQuest Central (Alumni Edition)
ProQuest One Community College
ProQuest Central China
ProQuest Central
ProQuest One Academic UKI Edition
ProQuest Central Korea
ProQuest Central (New)
ProQuest One Academic
ProQuest One Academic (New)
DatabaseTitleList
CrossRef
Publicly Available Content Database

Database_xml – sequence: 1
  dbid: BENPR
  name: ProQuest Central
  url: https://www.proquest.com/central
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Applied Sciences
EISSN 2444-8656
EndPage 138
ExternalDocumentID 10_2478_AMNS_2019_1_00013
10_2478_AMNS_2019_1_0001341141
10_2478_AMNS_2019_1_0001341129
GroupedDBID 9WM
AATOW
ABFKT
ADBLJ
AFKRA
AHGSO
AIKXB
ALMA_UNASSIGNED_HOLDINGS
AMVHM
ARCSS
BENPR
CCPQU
EBS
EJD
M~E
OK1
PHGZM
PHGZT
PIMPY
QD8
SLJYH
AAYXX
CITATION
ABUWG
AZQEC
DWQXO
PKEHL
PQEST
PQQKQ
PQUKI
PRINS
ID FETCH-LOGICAL-c356t-d5619c5660c65cb1b26f3361c0d487840833bcd848421a2a8d2f4e9f46c87a313
IEDL.DBID BENPR
ISSN 2444-8656
IngestDate Mon Jun 30 11:42:08 EDT 2025
Tue Jul 01 03:14:25 EDT 2025
Thu Apr 24 22:59:18 EDT 2025
Thu Jul 10 10:38:39 EDT 2025
Thu Jul 10 10:31:45 EDT 2025
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
License This work is licensed under the Creative Commons Attribution 4.0 International License.
This work is licensed under the Creative Commons Attribution 4.0 Public License.
http://creativecommons.org/licenses/by/4.0
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c356t-d5619c5660c65cb1b26f3361c0d487840833bcd848421a2a8d2f4e9f46c87a313
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
OpenAccessLink https://www.proquest.com/docview/3191236248?pq-origsite=%requestingapplication%
PQID 3191236248
PQPubID 6761185
PageCount 10
ParticipantIDs proquest_journals_3191236248
crossref_citationtrail_10_2478_AMNS_2019_1_00013
crossref_primary_10_2478_AMNS_2019_1_00013
walterdegruyter_journals_10_2478_AMNS_2019_1_0001341141
walterdegruyter_journals_10_2478_AMNS_2019_1_0001341129
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2019-06-25
PublicationDateYYYYMMDD 2019-06-25
PublicationDate_xml – month: 06
  year: 2019
  text: 2019-06-25
  day: 25
PublicationDecade 2010
PublicationPlace Beirut
PublicationPlace_xml – name: Beirut
PublicationTitle Applied mathematics and nonlinear sciences
PublicationYear 2019
Publisher Sciendo
De Gruyter Poland
Publisher_xml – name: Sciendo
– name: De Gruyter Poland
References Cattani, C.; Sulaiman, T.A.; Baskonus, H.M.; Bulut, H. (j_AMNS.2019.1.00013_ref_029) 2018; 50
Sulaiman, T.A.; Bulut, H.; Yokus, A.; Baskonus, H.M. (j_AMNS.2019.1.00013_ref_027) 2018
Al-Amr, M.O. (j_AMNS.2019.1.00013_ref_070) 2018; 8
Wazwaz, A.M. (j_AMNS.2019.1.00013_ref_002) 2007; 188
Araci, S.; Ozer, O. (j_AMNS.2019.1.00013_ref_024) 2015; 2015
Cattani, C.; Sulaiman, T.A.; Baskonus, H.M.; Bulut, H. (j_AMNS.2019.1.00013_ref_031) 2018; 133
Seadawy, A. (j_AMNS.2019.1.00013_ref_033) 2016; 71
Baskonus, H. M. (j_AMNS.2019.1.00013_ref_059) 2019; 8
Lonngren, K.E.; Hsuan, H.C.S.; Ames, W.F. (j_AMNS.2019.1.00013_ref_016) 1875; 52
Al-Amr, M.O. (j_AMNS.2019.1.00013_ref_066) 2015; 69
Yokus, A.; Sulaiman, T. A.; Baskonus, H. M.; Atmaca, S. P. (j_AMNS.2019.1.00013_ref_049) 2018; 22
Baskonus, H.M.; Bulut, H.; Emir, D.G. (j_AMNS.2019.1.00013_ref_009) 2015; 1
Zhen-Ya, Y.; Hong-oing, Z.; En-Gui, F. (j_AMNS.2019.1.00013_ref_023) 1999; 48
Biswas, A.; Al-Amr, M.O.; Rezazadeh, H.; Mirzazadeh, M.; Eslami, M.; Zhou, Q.; Moshokoa, S.P.; Belic, M. (j_AMNS.2019.1.00013_ref_064) 2018; 165
Baskonus, H.M.; Koc, D.A.; Bulut, H. (j_AMNS.2019.1.00013_ref_045) 2016; 7
Unlukal, C.; Penel, M.; Penel, B. (j_AMNS.2019.1.00013_ref_034) 2018; 22
Cattani, C. (j_AMNS.2019.1.00013_ref_003) 2018; 2
Ciancio, A.; Quartarone, A. (j_AMNS.2019.1.00013_ref_005) 2013; 75
Awati, V.B.; Jyoti, M. (j_AMNS.2019.1.00013_ref_028) 2016; 1
Arshad, M.; Seadawy, A.R.; Lu, D. (j_AMNS.2019.1.00013_ref_006) 2017; 31
Awati, V.B.; Jyoti, M. (j_AMNS.2019.1.00013_ref_062) 2016; 1
Cilingir, I.; Demir, H. (j_AMNS.2019.1.00013_ref_052) 2012; 3
Liu, S.; Fu, Z.; Liu, S. (j_AMNS.2019.1.00013_ref_021) 2006; 351
Duran, S.; Askin, M.; Sulaiman, T.A. (j_AMNS.2019.1.00013_ref_042) 2017; 7
Yan, C. (j_AMNS.2019.1.00013_ref_018) 1996; 22
Akyildiz, F.T.; Vajravelu, K. (j_AMNS.2019.1.00013_ref_050) 2018; 3
Baskonus, H.M. (j_AMNS.2019.1.00013_ref_032) 2017; 1798
Baskonus, H.M. (j_AMNS.2019.1.00013_ref_063) 2017; 1798
Ozer, O. (j_AMNS.2019.1.00013_ref_040) 2017; 41
Al-Sawoor, A.J.; Al-Amr, M.O. (j_AMNS.2019.1.00013_ref_071) 2013; 2
Bulut, H. (j_AMNS.2019.1.00013_ref_037) 2013 2013
Ozer, O.; Pekin, A. (j_AMNS.2019.1.00013_ref_030) 2015; 8
Sulaiman, T.A.; Yokus, A.; Gulluoglu, N.; Baskonus, H.M.; Bulut, H. (j_AMNS.2019.1.00013_ref_035) 2018; 22
Lu, D.; Seadawy, A.R.; Khater, M. M. A. (j_AMNS.2019.1.00013_ref_004) 2017; 7
Rosa, M.; Gandarias, M.L. (j_AMNS.2019.1.00013_ref_057) 2016; 1
Seadawy, A.R. (j_AMNS.2019.1.00013_ref_053) 2017; 40
Baskonus, H.M.; Bulut, H. (j_AMNS.2019.1.00013_ref_025) 2015; 25
Al-Amr, M.O.; El-Ganaini, S. (j_AMNS.2019.1.00013_ref_069) 2017; 74
Ozer, O. (j_AMNS.2019.1.00013_ref_055) 2018; 42
Olver, P.J. (j_AMNS.2019.1.00013_ref_001) 1977; 18
Ma, W.X.; Li, J.; Khalique, C.M. (j_AMNS.2019.1.00013_ref_046) 2018; 2018
Cilingir, I.; Demir, H. (j_AMNS.2019.1.00013_ref_007) 2018; 8
Akcagil, S.; Aydemir, T.T. (j_AMNS.2019.1.00013_ref_014) 2016; 14
Caraballo, T.; Herrera-Cobos, M.; Marín-Rubio, P. (j_AMNS.2019.1.00013_ref_008) 2017; 2
Yokus, A.; Sulaiman, T.A.; Gulluoglu, M.T.; Bulut, H. (j_AMNS.2019.1.00013_ref_048) 2018; 22
Dewasurendra, M.; Vajravelu, K. (j_AMNS.2019.1.00013_ref_036) 2018; 3
Al-Sawoor, A.J.; Al-Amr, M.O. (j_AMNS.2019.1.00013_ref_067) 2014; 22
Baskonus, H. M.; Bulut, H. (j_AMNS.2019.1.00013_ref_058) 2015; 25
Cattani, C.; Ciancio, A. (j_AMNS.2019.1.00013_ref_011) 2016; 460
Yan, Z.; Zhang, H. (j_AMNS.2019.1.00013_ref_022) 1999; 252
Baskonus, H.M.; Sulaiman, T.A.; Bulut, H.; Akturk, T. (j_AMNS.2019.1.00013_ref_041) 2018; 115
Yan, Z. (j_AMNS.2019.1.00013_ref_020) 2004; 23
Qasim, A.F.; Al-Amr, M.O. (j_AMNS.2019.1.00013_ref_065) 2018; 4
Ciancio, A.; Baskonus, H.M.; Sulaiman, T.A.; Bulut, H. (j_AMNS.2019.1.00013_ref_012) 2018; 92
Baskonus, H.M.; Bulut, H. (j_AMNS.2019.1.00013_ref_054) 2016; 21
Bulut, H.; Sulaiman, T.A.; Baskonus, H.M.; Yazgan, T. (j_AMNS.2019.1.00013_ref_056) 2017; 49
Bulut, H.; Atas, S.S.; Baskonus, H.M. (j_AMNS.2019.1.00013_ref_047) 2016; 3
Al-Sawoor, A.J.; Al-Amr, M.O. (j_AMNS.2019.1.00013_ref_068) 2012; 9
El-Shaboury, S.M.; Ammar, M.K.; Yousef, W.M. (j_AMNS.2019.1.00013_ref_013) 2017; 2
Baskonus, H.M.; Bulut, H. (j_AMNS.2019.1.00013_ref_051) 2015; 25
Demir, H. (j_AMNS.2019.1.00013_ref_060) 2014; 27
Aslan, I. (j_AMNS.2019.1.00013_ref_026) 2011; 217
Baskonus, H.M. (j_AMNS.2019.1.00013_ref_019) 2016; 86
Ilhan, O.A.; Sulaiman, T.A.; Bulut, H.; Baskonus, H.M. (j_AMNS.2019.1.00013_ref_039) 2018; 133
Askin, M. (j_AMNS.2019.1.00013_ref_010) 2007; 19
Baskonus, H. M.; Bulut, H.; Belgacem, F. B. M. (j_AMNS.2019.1.00013_ref_038) 2017; 312
Khalique, C.M.; Mhlanga, I.E. (j_AMNS.2019.1.00013_ref_044) 2018; 3
Bulut, H. (j_AMNS.2019.1.00013_ref_061) 2010; 1
2025011414284841630_j_AMNS.2019.1.00013_ref_031
2025011414284841630_j_AMNS.2019.1.00013_ref_030
2025011414284841630_j_AMNS.2019.1.00013_ref_033
2025011414284841630_j_AMNS.2019.1.00013_ref_032
2025011414284841630_j_AMNS.2019.1.00013_ref_071
2025011414284841630_j_AMNS.2019.1.00013_ref_070
2025011414284841630_j_AMNS.2019.1.00013_ref_028
2025011414284841630_j_AMNS.2019.1.00013_ref_027
2025011414284841630_j_AMNS.2019.1.00013_ref_029
2025011414284841630_j_AMNS.2019.1.00013_ref_024
2025011414284841630_j_AMNS.2019.1.00013_ref_068
2025011414284841630_j_AMNS.2019.1.00013_ref_023
2025011414284841630_j_AMNS.2019.1.00013_ref_067
2025011414284841630_j_AMNS.2019.1.00013_ref_026
2025011414284841630_j_AMNS.2019.1.00013_ref_025
2025011414284841630_j_AMNS.2019.1.00013_ref_069
2025011414284841630_j_AMNS.2019.1.00013_ref_042
2025011414284841630_j_AMNS.2019.1.00013_ref_041
2025011414284841630_j_AMNS.2019.1.00013_ref_044
2025011414284841630_j_AMNS.2019.1.00013_ref_043
2025011414284841630_j_AMNS.2019.1.00013_ref_040
2025011414284841630_j_AMNS.2019.1.00013_ref_039
2025011414284841630_j_AMNS.2019.1.00013_ref_038
2025011414284841630_j_AMNS.2019.1.00013_ref_035
2025011414284841630_j_AMNS.2019.1.00013_ref_034
2025011414284841630_j_AMNS.2019.1.00013_ref_037
2025011414284841630_j_AMNS.2019.1.00013_ref_036
2025011414284841630_j_AMNS.2019.1.00013_ref_053
2025011414284841630_j_AMNS.2019.1.00013_ref_052
2025011414284841630_j_AMNS.2019.1.00013_ref_011
2025011414284841630_j_AMNS.2019.1.00013_ref_055
2025011414284841630_j_AMNS.2019.1.00013_ref_010
2025011414284841630_j_AMNS.2019.1.00013_ref_054
2025011414284841630_j_AMNS.2019.1.00013_ref_051
2025011414284841630_j_AMNS.2019.1.00013_ref_050
2025011414284841630_j_AMNS.2019.1.00013_ref_006
2025011414284841630_j_AMNS.2019.1.00013_ref_005
2025011414284841630_j_AMNS.2019.1.00013_ref_049
2025011414284841630_j_AMNS.2019.1.00013_ref_008
2025011414284841630_j_AMNS.2019.1.00013_ref_007
2025011414284841630_j_AMNS.2019.1.00013_ref_002
2025011414284841630_j_AMNS.2019.1.00013_ref_046
2025011414284841630_j_AMNS.2019.1.00013_ref_001
2025011414284841630_j_AMNS.2019.1.00013_ref_045
2025011414284841630_j_AMNS.2019.1.00013_ref_004
2025011414284841630_j_AMNS.2019.1.00013_ref_048
2025011414284841630_j_AMNS.2019.1.00013_ref_003
2025011414284841630_j_AMNS.2019.1.00013_ref_047
2025011414284841630_j_AMNS.2019.1.00013_ref_009
2025011414284841630_j_AMNS.2019.1.00013_ref_020
2025011414284841630_j_AMNS.2019.1.00013_ref_064
2025011414284841630_j_AMNS.2019.1.00013_ref_063
2025011414284841630_j_AMNS.2019.1.00013_ref_022
2025011414284841630_j_AMNS.2019.1.00013_ref_066
2025011414284841630_j_AMNS.2019.1.00013_ref_021
2025011414284841630_j_AMNS.2019.1.00013_ref_065
2025011414284841630_j_AMNS.2019.1.00013_ref_060
2025011414284841630_j_AMNS.2019.1.00013_ref_062
2025011414284841630_j_AMNS.2019.1.00013_ref_061
2025011414284841630_j_AMNS.2019.1.00013_ref_017
2025011414284841630_j_AMNS.2019.1.00013_ref_016
2025011414284841630_j_AMNS.2019.1.00013_ref_019
2025011414284841630_j_AMNS.2019.1.00013_ref_018
2025011414284841630_j_AMNS.2019.1.00013_ref_013
2025011414284841630_j_AMNS.2019.1.00013_ref_057
2025011414284841630_j_AMNS.2019.1.00013_ref_012
2025011414284841630_j_AMNS.2019.1.00013_ref_056
2025011414284841630_j_AMNS.2019.1.00013_ref_015
2025011414284841630_j_AMNS.2019.1.00013_ref_059
2025011414284841630_j_AMNS.2019.1.00013_ref_014
2025011414284841630_j_AMNS.2019.1.00013_ref_058
References_xml – volume: 2
  start-page: 403
  issue: 2
  year: 2017
  end-page: 414
  ident: j_AMNS.2019.1.00013_ref_013
  article-title: Analytical solutions of the relative orbital motion in unperturbed and in J- perturbed elliptic orbits
  publication-title: Appl. Math. Nonlinear Sciences
– volume: 52
  start-page: 538
  year: 1875
  ident: j_AMNS.2019.1.00013_ref_016
  article-title: On the Soliton, Invariant and Shock Solutions of a Fourth-Order Nonlinear Equation
  publication-title: Journal of Mathematical Analysis and Applications
– volume: 3
  start-page: 1
  issue: 1
  year: 2018
  end-page: 14
  ident: j_AMNS.2019.1.00013_ref_036
  article-title: On the Method of Inverse Mapping for Solutions of Coupled Systems of Nonlinear Differential Equations Arising in Nanofluid Flow, Heat and Mass Transfer
  publication-title: Appl. Math. Nonlinear Sciences
– volume: 2015
  start-page: 272
  issue: 1
  year: 2015
  end-page: 276
  ident: j_AMNS.2019.1.00013_ref_024
  article-title: Extended q-Dedekind-type Daehee- Changhee sums associated with extended q-Euler polynomials
  publication-title: Adv. Differen. Eq
– start-page: 1
  year: 2018
  end-page: 10
  ident: j_AMNS.2019.1.00013_ref_027
  article-title: On the exact and numerical solutions to the coupled Boussinesq equation arising in ocean engineering
  publication-title: Indian J of Physics
– volume: 23
  start-page: 300
  year: 2004
  ident: j_AMNS.2019.1.00013_ref_020
  article-title: A New Sine-Gordon Equation Expansion Algorithm to Investi- gate Some Special Nonlinear Differential Equations
  publication-title: Academia Sinica
– volume: 69
  start-page: 390
  issue: 5
  year: 2015
  end-page: 397
  ident: j_AMNS.2019.1.00013_ref_066
  article-title: Exact solutions of the generalized (2 + 1)-dimensional nonlinear evolution equations via the modified simple equation method
  publication-title: Comput. Math. Appl.
– volume: 74
  start-page: 1274
  year: 2017
  end-page: 1287
  ident: j_AMNS.2019.1.00013_ref_069
  article-title: New exact traveling wave solutions of the (4 + 1)-dimensional Fokas equation
  publication-title: Comput. Math. Appl.
– volume: 1798
  start-page: 1
  issue: 020018
  year: 2017
  end-page: 10
  ident: j_AMNS.2019.1.00013_ref_032
  article-title: New complex and hyperbolic function solutions to the generalized double combined Sinh-Cosh-Gordon equation
  publication-title: AIP Conf. Proc.
– volume: 3
  start-page: 255
  issue: 1
  year: 2018
  end-page: 264
  ident: j_AMNS.2019.1.00013_ref_050
  article-title: Galerkin-Chebyshev Pseudo Spectral Method and a Split Step New Approach for a Class of Two dimensional Semi-linear Parabolic Equations of Second Order
  publication-title: Appl. Math. Nonlinear Sciences
– volume: 92
  start-page: 1281
  issue: 10
  year: 2018
  end-page: 1290
  ident: j_AMNS.2019.1.00013_ref_012
  article-title: New structural dynamics of isolated waves via the coupled nonlinear Maccari’s system with complex structure
  publication-title: Indian J of Physics
– volume: 48
  start-page: 1
  issue: 1
  year: 1999
  end-page: 5
  ident: j_AMNS.2019.1.00013_ref_023
  article-title: New Explicit and Travelling Wave Solutions for a Class of Nonlinear Evolution Equations
  publication-title: Acta Physica Sinica
– volume: 351
  start-page: 59
  year: 2006
  end-page: 63
  ident: j_AMNS.2019.1.00013_ref_021
  article-title: Exact Solutions to Sine-Gordon-Type Equations
  publication-title: Physics Letters A
– volume: 2018
  start-page: 1
  issue: 9059858
  year: 2018
  end-page: 7
  ident: j_AMNS.2019.1.00013_ref_046
  article-title: A Study on Lump Solutions to a Generalized Hirota-Satsuma-Ito Equation in (2 + 1)-Dimensions
  publication-title: Complexity
– volume: 1
  start-page: 311
  issue: 2
  year: 2016
  end-page: 320
  ident: j_AMNS.2019.1.00013_ref_057
  article-title: Multiplier method and exact solutions for a density dependent reaction-diffusion equation
  publication-title: Appl. Mathematics and Nonlinear Sciences
– volume: 1798
  start-page: 1
  issue: 020018
  year: 2017
  end-page: 10
  ident: j_AMNS.2019.1.00013_ref_063
  article-title: New complex and hyperbolic function solutions to the generalized double combined Sinh-Cosh-Gordon equation
  publication-title: AIP Conf. Proc.
– volume: 115
  start-page: 19
  year: 2018
  end-page: 29
  ident: j_AMNS.2019.1.00013_ref_041
  article-title: Investigations of dark, bright, combined dark-bright optical and other soliton solutions in the complex cubic nonlinear Schrödinger equation with -potential
  publication-title: Superlattice and Microstructures
– volume: 75
  start-page: 125
  issue: 4
  year: 2013
  end-page: 136
  ident: j_AMNS.2019.1.00013_ref_005
  article-title: A Hybrid Model For Tumor-Immune Competition
  publication-title: U.P.B. Sci. Bull. Series A
– volume: 21
  start-page: 1
  issue: 2
  year: 2016
  ident: j_AMNS.2019.1.00013_ref_054
  article-title: New Complex Hyperbolic Function Solutions for the (2 + 1)-Dimensional Dispersive Long Water-Wave System
  publication-title: Mathematical and Computational Applications
– volume: 50
  start-page: 1
  issue: 138
  year: 2018
  end-page: 11
  ident: j_AMNS.2019.1.00013_ref_029
  article-title: On the soliton solutions to the Nizhnik-Novikov-Veselov and the Drinfeľd-Sokolov systems
  publication-title: Opt. and Quan. Elect.
– volume: 25
  start-page: 576
  issue: 4
  year: 2015
  end-page: 586
  ident: j_AMNS.2019.1.00013_ref_058
  article-title: Analytical Studies on the (1 + 1)-dimensional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation Defined by Seismic Sea Waves
  publication-title: Waves in Random and Complex Media
– volume: 27
  start-page: 1063
  issue: 4
  year: 2014
  end-page: 1076
  ident: j_AMNS.2019.1.00013_ref_060
  article-title: Temporal differential transform and spatial finite difference methods for unsteady heat conduction equations with anisotropic diffusivity
  publication-title: Gazi University Journal of Science
– volume: 1
  start-page: 161
  issue: 2
  year: 2010
  end-page: 172
  ident: j_AMNS.2019.1.00013_ref_061
  article-title: Comparison between The Alternating Group Explicit Method and Adomian Decomposition Method for Solution of Coupled Viscous Burgers Equation
  publication-title: Nonlinear Science Letters A
– volume: 188
  start-page: 1205
  year: 2007
  end-page: 1213
  ident: j_AMNS.2019.1.00013_ref_002
  article-title: New solitons and kinks solutions to the Sharmaassolverlver equation
  publication-title: Appl. Math. Computation
– volume: 41
  start-page: 759
  issue: 3
  year: 2017
  end-page: 769
  ident: j_AMNS.2019.1.00013_ref_040
  article-title: A Note On Structure of Certain Real Quadratic Number Fields
  publication-title: Iranian Journal of Science and Technology
– volume: 7
  start-page: 2028
  year: 2017
  end-page: 2035
  ident: j_AMNS.2019.1.00013_ref_004
  article-title: Bifurcations of new multi soliton solutions of the van der Waals normal form for fluidized granular matter via six different methods
  publication-title: Results in Physics
– volume: 22
  start-page: 396
  issue: 3
  year: 2014
  end-page: 401
  ident: j_AMNS.2019.1.00013_ref_067
  article-title: A new modification of variational iteration method for solving reaction-diffusion system with fast reversible reaction
  publication-title: J. Egyptian Math. Soc.
– volume: 9
  start-page: 243
  issue: 2
  year: 2012
  end-page: 257
  ident: j_AMNS.2019.1.00013_ref_068
  article-title: Numerical solution of a reaction-diffusion system with fast reversible reaction by using Adomian’s decomposition method and He’s variational iteration method
  publication-title: Al-Rafidain J. Comput. Sci. Math.
– volume: 8
  start-page: 343
  issue: 3
  year: 2015
  end-page: 356
  ident: j_AMNS.2019.1.00013_ref_030
  article-title: An Algorithm For Explicit Form of Fundamental Units of Certain Real Quadratic Fields and Period Eight
  publication-title: European J. Pure and Applied Mathematics
– volume: 2
  start-page: 224
  issue: 4
  year: 2018
  end-page: 238
  ident: j_AMNS.2019.1.00013_ref_003
  article-title: A review on Harmonic Wavelets and their fractional extension
  publication-title: Journal of Advanced Eng. Comp.
– volume: 14
  start-page: 88
  year: 2016
  ident: j_AMNS.2019.1.00013_ref_014
  article-title: Comparison Between the (G′/G)-Expansion Method and the Modified Extended tanh Method
  publication-title: Open Physics
– volume: 31
  start-page: 1711
  issue: 16
  year: 2017
  end-page: 1722
  ident: j_AMNS.2019.1.00013_ref_006
  article-title: Bright-dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its applications in optics
  publication-title: J Electromag Waves and Appl
– volume: 165
  start-page: 233
  year: 2018
  end-page: 239
  ident: j_AMNS.2019.1.00013_ref_064
  article-title: Resonant optical solitons with dual-power law nonlinearity and fractional temporal evolution
  publication-title: Optik
– volume: 217
  start-page: 8134
  year: 2011
  end-page: 8139
  ident: j_AMNS.2019.1.00013_ref_026
  article-title: Exact and explicit solutions to nonlinear evolution equations using the division theorem
  publication-title: Appl. Math. and Comp.
– volume: 133
  start-page: 1
  issue: 228
  year: 2018
  end-page: 11
  ident: j_AMNS.2019.1.00013_ref_031
  article-title: Solitons in an inhomogeneous Murnaghan’s rod
  publication-title: Europ Phys J Plus
– start-page: 1
  year: 2013 2013
  end-page: 11
  ident: j_AMNS.2019.1.00013_ref_037
  article-title: Classification of exact solutions for generalized form of K(mn) equation
  publication-title: Abstract and Applied Analysis
– volume: 1
  start-page: 507
  issue: 2
  year: 2016
  end-page: 516
  ident: j_AMNS.2019.1.00013_ref_028
  article-title: Homotopy analysis method for the solution of lubrication of a long porous slider
  publication-title: Appl. Math. Nonlinear Sciences
– volume: 22
  start-page: 1
  issue: 01023
  year: 2018
  end-page: 10
  ident: j_AMNS.2019.1.00013_ref_034
  article-title: Risk Assessment with Failure Mode and Effect Analysis and Gray Relational Analysis Method in Plastic Enjection Prosess
  publication-title: ITM Web of Conf.
– volume: 4
  start-page: 1
  issue: 2
  year: 2018
  end-page: 9
  ident: j_AMNS.2019.1.00013_ref_065
  article-title: Approximate solution of the Kersten-Krasil’shchik coupled Kdv-MKdV system via reduced differential transform method
  publication-title: Eurasian Journal of Science and Engineering
– volume: 22
  start-page: 1
  issue: 01064
  year: 2018
  end-page: 10
  ident: j_AMNS.2019.1.00013_ref_048
  article-title: Stability Analysis, Numerical and Exact Solutions of the (1 + 1)-Dimensional NDMBBM Equation
  publication-title: ITM Web of Conf.
– volume: 8
  start-page: 18
  issue: 1
  year: 2019
  ident: j_AMNS.2019.1.00013_ref_059
  article-title: Complex Soliton Solutions to the Gilson-Pickering Model
  publication-title: Axioms
– volume: 22
  start-page: 1
  issue: 01061
  year: 2018
  end-page: 10
  ident: j_AMNS.2019.1.00013_ref_049
  article-title: On the exact and numerical solutions to a nonlinear model arising in mathematical biology
  publication-title: ITM Web of Conf.
– volume: 312
  start-page: 257
  year: 2017
  ident: j_AMNS.2019.1.00013_ref_038
  article-title: Analytical Solutions for Nonlinear Long-Short Wave Interaction Systems with Highly Complex Structure
  publication-title: J. Comput. Appl. Math.
– volume: 7
  start-page: 240
  issue: 3
  year: 2017
  end-page: 247
  ident: j_AMNS.2019.1.00013_ref_042
  article-title: New soliton properties to the ill-posed Boussinesq equation arising in nonlinear physical science
  publication-title: An Int.J. Optimization and Control: Theories and Applications
– volume: 3
  start-page: 1
  issue: 3
  year: 2012
  end-page: 10
  ident: j_AMNS.2019.1.00013_ref_052
  article-title: Application of the Hybrid Differential Transform Method to the nonlinear equations
  publication-title: Applied Mathematics
– volume: 1
  start-page: 507
  issue: 2
  year: 2016
  end-page: 516
  ident: j_AMNS.2019.1.00013_ref_062
  article-title: Homotopy analysis method for the solution of lubrication of a long porous slider
  publication-title: Appl. Math. Nonlinear Sciences
– volume: 2
  start-page: 73
  issue: 1
  year: 2017
  end-page: 82
  ident: j_AMNS.2019.1.00013_ref_008
  article-title: An iterative method for non-autonomous nonlocal reaction-diffusion equations
  publication-title: Appl. Math. Nonlinear Sciences
– volume: 25
  start-page: 1
  issue: 4
  year: 2015
  end-page: 13
  ident: j_AMNS.2019.1.00013_ref_025
  article-title: Analytical Studies on the (1 + 1)-dimensional Nonlinear Dispersive Modified Benjamin-Bona-Mahony Equation Defined by Seismic Sea Waves
  publication-title: Waves in Random and Complex Media
– volume: 18
  start-page: 1212
  year: 1977
  end-page: 1217
  ident: j_AMNS.2019.1.00013_ref_001
  article-title: Evolution equations possessing infinitely many symmetries
  publication-title: J. Math. Physics
– volume: 7
  start-page: 67
  issue: 2
  year: 2016
  end-page: 76
  ident: j_AMNS.2019.1.00013_ref_045
  article-title: New travelling wave prototypes to the nonlinear Zakharov-Kuznetsov equation with power law nonlinearity
  publication-title: Nonlin. Sci. Letters A: Math., Phys. and Mech.
– volume: 252
  start-page: 291
  year: 1999
  end-page: 296
  ident: j_AMNS.2019.1.00013_ref_022
  article-title: New Explicit and exact Travelling Wave Solutionsfor a System of Variant Boussinesq equations in Mathematical Physics
  publication-title: Physics Letters A
– volume: 3
  start-page: 241
  issue: 1
  year: 2018
  end-page: 254
  ident: j_AMNS.2019.1.00013_ref_044
  article-title: Travelling waves and conservation laws of a (2 + 1)-dimensional coupling system with Korteweg-de Vries equation
  publication-title: Appl. Math. Nonlinear Sciences
– volume: 3
  start-page: 1
  issue: 1240886
  year: 2016
  end-page: 8
  ident: j_AMNS.2019.1.00013_ref_047
  article-title: Some novel exponential function structures to the Cahn-Allen equation
  publication-title: Cogent Physics
– volume: 22
  start-page: 77
  issue: 4
  year: 1996
  ident: j_AMNS.2019.1.00013_ref_018
  article-title: A Simple Transformation for Nonlinear Waves
  publication-title: Physics Letters A
– volume: 8
  start-page: 462
  issue: 2
  year: 2018
  end-page: 472
  ident: j_AMNS.2019.1.00013_ref_007
  article-title: New Algorithm for the Lid-driven Cavity Flow Problemwith Boussinesq-Stokes Suspension
  publication-title: Karaelmas J. Science and Eng
– volume: 22
  start-page: 1
  issue: 01036
  year: 2018
  end-page: 9
  ident: j_AMNS.2019.1.00013_ref_035
  article-title: Regarding the Numerical and Stability Analysis of the Sharma-Tosso-Olver Equation
  publication-title: ITM Web of Conf.
– volume: 25
  start-page: 720
  issue: 4
  year: 2015
  ident: j_AMNS.2019.1.00013_ref_051
  article-title: On the Complex Structures of Kundu-Eckhaus Equation via Improved Bernoulli Sub-Equation Function Method
  publication-title: Waves in Random and Complex Media
– volume: 71
  start-page: 201
  year: 2016
  end-page: 206
  ident: j_AMNS.2019.1.00013_ref_033
  article-title: Three-dimensional nonlinear modified Zakharov-Kuznetsov equation of ion-acoustic waves in a magnetized plasma
  publication-title: Comput. Math. Appl
– volume: 133
  start-page: 1
  issue: 27
  year: 2018
  end-page: 6
  ident: j_AMNS.2019.1.00013_ref_039
  article-title: On the new wave Solutions to a Nonlinear Model Arising in Plasma Physics
  publication-title: Europ Phys J Plus
– volume: 460
  start-page: 222
  year: 2016
  end-page: 229
  ident: j_AMNS.2019.1.00013_ref_011
  article-title: On the fractal distribution of primes and prime-indexed primes by the binary image analysis
  publication-title: Physica A
– volume: 19
  start-page: 3191
  issue: 4
  year: 2007
  end-page: 3196
  ident: j_AMNS.2019.1.00013_ref_010
  article-title: Effect of the Transition Metal Elements on the Relaxation Times in the Agar Solutions
  publication-title: Asian Journal of Chemistry
– volume: 42
  start-page: 1
  issue: 2
  year: 2018
  end-page: 12
  ident: j_AMNS.2019.1.00013_ref_055
  article-title: Determination of Fundamental Units of Real Quadratic Number Fields Related with Specific Continued Fraction Expansions
  publication-title: Egyptian Computer Science Journal
– volume: 2
  start-page: 135
  issue: 11
  year: 2013
  end-page: 145
  ident: j_AMNS.2019.1.00013_ref_071
  article-title: Reduced differential transform method for the generalized Ito system
  publication-title: Int. J. Enhanc. Res. Sci. Tech. Eng.
– volume: 40
  start-page: 1598
  year: 2017
  end-page: 1607
  ident: j_AMNS.2019.1.00013_ref_053
  article-title: Ionic acoustic solitary wave solutions of two-dimensional nonlinear Kadomtsev-Petviashvili-Burgers equations in quantum plasma
  publication-title: Mathematical Methods and Applied Sciences
– volume: 86
  start-page: 177
  issue: 1
  year: 2016
  ident: j_AMNS.2019.1.00013_ref_019
  article-title: New Acoustic Wave Behaviors to the Davey-Stewartson Equation with Power Nonlinearity Arising in Fluid Dynamics
  publication-title: Nonlinear Dynamics
– volume: 8
  start-page: 131
  issue: 6
  year: 2018
  end-page: 141
  ident: j_AMNS.2019.1.00013_ref_070
  article-title: Exact solutions of a family of higher-dimensional space-time fractional KdV type equations
  publication-title: Computer Science and Information Technology
– volume: 1
  start-page: 1
  issue: 1
  year: 2015
  end-page: 9
  ident: j_AMNS.2019.1.00013_ref_009
  article-title: Regarding New Complex Analytical Solutions for the Nonlinear Partial Vakhnenko-Parkes Differential Equation via Bernoulli Sub-Equation Function Method
  publication-title: Math. Letters
– volume: 49
  start-page: 1
  issue: 349
  year: 2017
  end-page: 16
  ident: j_AMNS.2019.1.00013_ref_056
  article-title: Novel Hyperbolic Behaviors to Some Important Models Arising in Quantum Science
  publication-title: Opt. and Quan. Elect.
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_018
  doi: 10.1016/S0375-9601(96)00770-0
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_011
  doi: 10.1016/j.physa.2016.05.013
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_036
  doi: 10.21042/AMNS.2018.1.00001
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_026
  doi: 10.1016/j.amc.2011.02.098
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_003
  doi: 10.25073/jaec.201824.225
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_063
  doi: 10.1063/1.4972610
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_070
  doi: 10.5121/csit.2018.80611
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_025
  doi: 10.1080/17455030.2015.1062577
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_008
  doi: 10.21042/AMNS.2017.1.00006
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_042
  doi: 10.11121/ijocta.01.2017.00495
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_007
  doi: 10.7212/zkufbd.v8i2.1121
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_041
  doi: 10.1016/j.spmi.2018.01.008
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_014
  doi: 10.1515/phys-2016-0006
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_067
  doi: 10.1016/j.joems.2013.12.011
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_015
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_030
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_049
  doi: 10.1051/itmconf/20182201061
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_050
  doi: 10.21042/AMNS.2018.1.00019
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_023
  doi: 10.7498/aps.48.1
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_024
  doi: 10.1186/s13662-015-0610-8
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_043
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_059
  doi: 10.3390/axioms8010018
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_051
  doi: 10.1080/17455030.2015.1080392
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_038
  doi: 10.1016/j.cam.2016.05.035
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_040
  doi: 10.1007/s40995-017-0292-z
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_005
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_022
  doi: 10.1016/S0375-9601(98)00956-6
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_046
  doi: 10.1155/2018/9059858
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_009
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_060
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_065
  doi: 10.23918/eajse.v4i2p1
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_047
  doi: 10.1080/23311940.2016.1240886
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_037
  doi: 10.1155/2013/742643
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_071
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_016
  doi: 10.1016/0022-247X(75)90078-5
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_013
  doi: 10.21042/AMNS.2017.2.00032
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_028
  doi: 10.21042/AMNS.2016.2.00040
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_001
  doi: 10.1063/1.523393
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_034
  doi: 10.1051/itmconf/20182201023
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_029
  doi: 10.1007/s11082-018-1406-3
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_012
  doi: 10.1007/s12648-018-1204-6
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_061
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_055
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_068
  doi: 10.33899/csmj.2012.163715
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_002
  doi: 10.1016/j.amc.2006.10.075
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_017
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_045
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_006
  doi: 10.1080/09205071.2017.1362361
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_044
  doi: 10.21042/AMNS.2018.1.00018
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_069
  doi: 10.1016/j.camwa.2017.06.020
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_004
  doi: 10.1016/j.rinp.2017.06.014
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_031
  doi: 10.1140/epjp/i2018-12085-y
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_053
  doi: 10.1002/mma.4081
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_058
  doi: 10.1080/17455030.2015.1062577
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_020
  doi: 10.1016/j.chaos.2004.05.003
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_057
  doi: 10.21042/AMNS.2016.2.00026
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_032
  doi: 10.1063/1.4972610
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_066
  doi: 10.1016/j.camwa.2014.12.011
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_021
  doi: 10.1016/j.physleta.2005.10.054
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_048
  doi: 10.1051/itmconf/20182201064
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_027
  doi: 10.1007/s12648-018-1322-1
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_033
  doi: 10.1016/j.camwa.2015.11.006
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_035
  doi: 10.1051/itmconf/20182201036
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_039
  doi: 10.1140/epjp/i2018-11858-6
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_056
  doi: 10.1007/s11082-017-1181-6
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_019
  doi: 10.1007/s11071-016-2880-4
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_052
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_062
  doi: 10.21042/AMNS.2016.2.00040
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_054
  doi: 10.3390/mca21020006
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_064
  doi: 10.1016/j.ijleo.2018.03.123
– ident: 2025011414284841630_j_AMNS.2019.1.00013_ref_010
SSID ssj0002313662
Score 2.5222895
Snippet In this paper, a powerful sine-Gordon expansion method (SGEM) with aid of a computational program is used in constructing a new hyperbolic function solutions...
SourceID proquest
crossref
walterdegruyter
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 129
SubjectTerms 02.60.Lj
02.70.Wz
02.90.+p
03.65.-w
hyperbolic function solutions
the longren-wave equation
The sine-Gordon expansion method
Title New Complex Hyperbolic Structures to the Lonngren-Wave Equation by Using Sine-Gordon Expansion Method
URI https://www.degruyter.com/doi/10.2478/AMNS.2019.1.00013
https://www.proquest.com/docview/3191236248
Volume 4
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT8MwDI5gXLjwRgwGyoETUmBN0iw9oYEGE2ITYkzjVjVpxmXqYA_Y_j12mzGBBAeuVVJVdux8n-3ahJwWXdSSiCnADkymOmFG2CrjqQC7jLgLQ_wbudVWza68ew6ffcBt7MsqFz4xd9Tp0GKM_AKOCjYK4VJfvr4xnBqF2VU_QmOVrIEL1kC-1q4a7YfHrygLoBehFC_SmVzW9EW91e5gRVd0HpznAOj7hbREmRsfeb46dS-j6XyyyI_m187NFtnweJHWCwVvkxWX7ZBNjx2pt8zxLnHgrSga98DNaBPI5chgx1_ayfvDToFU08mQAtqj98MsA5KdsV7y7mjjrej1Tc2c5uUDtAO4k90CJ4WHjRk4C4yn0VY-aXqPdG8aT9dN5kcoMCtCNWEpwKPIAmSrWhVaExiu-kKowFZTYCpA7rQQxqZaasmDhCc65X3por5UVtcSEN4-KWXDzB0Qqo2xIsKwU4iGDswwSozV2IBMGyAmZVJdyDG2vr84jrkYxMAzUPQxij5G0cdBnvMWZXL2teW1aK7x1-LKQjmxt7NxvDwVZVL7obDlql_fKRFt_nenDA7__qQjso5bsLCMhxVSAoW7Y4AwE3MCnrjXOvGn9RMLxOzl
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1LTxsxEB7RcGgvKY9WDaXgQ3tBMmRtr-M9VIhHIEASVQ2o3LZrr8MFbYCEQv4Uv7Ez-yAqEhwqcV3Z1mo8Hn_fzHgG4GtRRS2JuEbswFVqEm6la3KRSjyXkfBhSK-Re33dOVPH5-H5HDxUb2EorbKyibmhTkeOfORbqCpUKEQos311zalrFEVXqxYahVqc-OkdUrbx96N93N9vQhy0T_c6vOwqwJ0M9YSniBgihyim6XTobGCFHkqpA9dMEbwj3zFSWpcaZZQIEpGYVAyVj4ZKO9NKZCBx3TcwryRSmRrM77b7P34-enUQLUmtRRE-FapltnZ6_QFlkEWbwWYOuP69AGeotn6Xx8dTf3FzO51U8dj8mjtYgHqJT9lOoVCLMOezJXhfYlVWWoLxMni0joyMyaW_Zx0kszeWKgyzQV6P9hZJPJuMGKJL1h1lGZL6jP9K_njWvi5qizM7ZXm6AhsgzuWHKFD82L5H40T-O9bLO1t_gLNXEe5HqGWjzH8CZqx1MiI3V0iGBZlolFhnqOCZsUiEGtCs5Bi7sp45tdW4jJHXkOhjEn1Moo-DPMYuG7DxOOWqKObx0uDVanPi8lyP45kWNqD1ZMNmo55dUxG6_d-ZKlh5-ZfW4W3ntNeNu0f9k8_wjqZTUpsIV6GGm--_IHya2LVSZxn8fu1j8hedASch
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LTxsxEB6lQap6CRRaNbzqQ09Ihqxf8R4jSEhbEpACgttq_QiXaJNCeP17xt4NEajtgevuzh7GnvH3ecafAX6UKmp5ShViByqczqnhtkWZ4xiXKfNShtPIg6HqX4hfV_KqBsniLEzM-y5WKw9mbhxblUVbH3QGw1FoxEr3k_2IWz7ASlumTNZhpdM_Hp2-bKwgYOFKsbKC-Xfb12vQElg2HmKJ2vnrm7un-aIkGlea3ho0KohIOuWYfoaaL9ZhtYKLpArG2w3wmKBIiOeJfyR95JM3Joj8klGUhL1DHk3mU4IAj5xMiwJ5dUEv83tPun9KeW9inkjsGCAjhJr0GGkoPuw-Yn4IW2hkEC-X_gIXve75YZ9WtyZQy6WaU4eIKLWI0lpWSWsSw9SYc5XYlkNygnxOc26s00ILluQs146NhU_HQlndztF5X6FeTAv_DYg2xvI07DTJENtIBtPcWB00x7RBLtKE1sKPma0kxcPNFpMMqUVwfRZcnwXXZ0ksc_Mm7L2YzEo9jf99vL0YnKwKrdsMc0ZQjGFCN6H9ZsCWX_3znyIAzPdaimTz3Zbf4ePZUS87-Tn8vQWfwuvQccbkNtRxWvgdxDZzs1vN5mdVBe5M
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=New+Complex+Hyperbolic+Structures+to+the+Lonngren-Wave+Equation+by+Using+Sine-Gordon+Expansion+Method&rft.jtitle=Applied+mathematics+and+nonlinear+sciences&rft.au=Baskonus%2C+Haci+Mehmet&rft.au=Bulut%2C+Hasan&rft.au=Sulaiman%2C+Tukur+Abdulkadir&rft.date=2019-06-25&rft.pub=Sciendo&rft.eissn=2444-8656&rft.volume=4&rft.issue=1&rft.spage=141&rft.epage=150&rft_id=info:doi/10.2478%2FAMNS.2019.1.00013&rft.externalDBID=n%2Fa&rft.externalDocID=10_2478_AMNS_2019_1_0001341141
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2444-8656&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2444-8656&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2444-8656&client=summon