New exact traveling wave solutions of the Tzitzéica-type evolution equations arising in non-linear optics

The properties of Tzitzéica equations in non-linear optics have been the subject of many recent studies. In this article, a new and effective modification of Kudryashov method is adopted to study this class of non-linear evolution equations. As an achievement, new exact traveling wave solutions of T...

Full description

Saved in:
Bibliographic Details
Published inJournal of modern optics Vol. 64; no. 16; pp. 1688 - 1692
Main Authors Hosseini, Kamyar, Bekir, Ahmet, Kaplan, Melike
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 08.09.2017
Taylor & Francis Ltd
Subjects
Dodd-Bullough-Mikhailov equation
Evolution
Linear evolution equations
modified Kudryashov method
new exact traveling wave solutions
Nonlinear equations
Nonlinear evolution equations
Nonlinear optics
Nonlinear programming
Tzitzéica equation
Tzitzéica-Dodd-Bullough equation
Online AccessGet full text
ISSN0950-0340
1362-3044
DOI10.1080/09500340.2017.1302607

Cover

Abstract The properties of Tzitzéica equations in non-linear optics have been the subject of many recent studies. In this article, a new and effective modification of Kudryashov method is adopted to study this class of non-linear evolution equations. As an achievement, new exact traveling wave solutions of Tzitzéica, Dodd-Bullough-Mikhailov (DBM) and Tzitzéica-Dodd-Bullough (TDB) equations are formally extracted. It is believed that the modified Kudryashov method along with the symbolic computation package suggests a promising technique to handle non-linear evolution equations in non-linear optics.
AbstractList The properties of Tzitzéica equations in non-linear optics have been the subject of many recent studies. In this article, a new and effective modification of Kudryashov method is adopted to study this class of non-linear evolution equations. As an achievement, new exact traveling wave solutions of Tzitzéica, Dodd-Bullough-Mikhailov (DBM) and Tzitzéica-Dodd-Bullough (TDB) equations are formally extracted. It is believed that the modified Kudryashov method along with the symbolic computation package suggests a promising technique to handle non-linear evolution equations in non-linear optics.
Author Hosseini, Kamyar
Bekir, Ahmet
Kaplan, Melike
Author_xml – sequence: 1
  givenname: Kamyar
  surname: Hosseini
  fullname: Hosseini, Kamyar
  organization: Department of Mathematics, Rasht Branch, Islamic Azad University
– sequence: 2
  givenname: Ahmet
  orcidid: 0000-0001-9394-4681
  surname: Bekir
  fullname: Bekir, Ahmet
  email: abekir@ogu.edu.tr
  organization: Art-Science Faculty, Department of Mathematics and Computer, Eskisehir Osmangazi University
– sequence: 3
  givenname: Melike
  orcidid: 0000-0001-5700-9127
  surname: Kaplan
  fullname: Kaplan, Melike
  organization: Art-Science Faculty, Department of Mathematics and Computer, Eskisehir Osmangazi University
BookMark eNqFkMtOAyEUhompia36CCYkrqcehrnGjabxlhjd6JpQ5qA041CBttY38jl8MRlbNy50w2Hx_f-Bb0QGne2QkCMGYwYVnECdA_AMximwcsw4pAWUO2TIeJEmHLJsQIY9k_TQHhl5PwOAAng6JLM7XFF8kyrQ4OQSW9M90VW8UG_bRTC289RqGp6RPryb8P75YZRMwnqOFJdbguLrQm5Q6YzvG0xH4yOT2IbSUTsPRvkDsqtl6_FwO_fJ4-XFw-Q6ub2_upmc3yaK8yoklS4Yy7FWadbUOYunBo1TLKsMp7rmrFIql1pVTGZFOZ02Wc0brCsJugHWSL5Pjje9c2dfF-iDmNmF6-JKwepoIK3KMo_U6YZSznrvUAtlwvcvogfTCgailyt-5IpertjKjen8V3ruzIt0639zZ5uc6bR1L3JlXduIINetddrJThkv-N8VX2_5lXo
CitedBy_id crossref_primary_10_1088_0253_6102_68_6_761
crossref_primary_10_1142_S0217984919501999
crossref_primary_10_1007_s40819_019_0642_y
crossref_primary_10_1142_S0217984921501323
crossref_primary_10_1016_j_ijleo_2017_09_066
crossref_primary_10_1016_j_joes_2021_09_019
crossref_primary_10_1142_S1793524518500511
crossref_primary_10_1007_s11082_018_1383_6
crossref_primary_10_1080_17455030_2017_1362133
crossref_primary_10_1016_j_ijleo_2018_05_001
crossref_primary_10_1007_s11082_018_1408_1
crossref_primary_10_1063_1_5087647
crossref_primary_10_1007_s11082_017_1178_1
crossref_primary_10_1080_17455030_2019_1579393
crossref_primary_10_1007_s11082_024_06424_5
crossref_primary_10_1063_5_0019219
crossref_primary_10_1007_s10773_024_05829_y
crossref_primary_10_1088_1572_9494_acd999
crossref_primary_10_1142_S021797921950351X
crossref_primary_10_1007_s13137_022_00203_8
crossref_primary_10_1016_j_cjph_2019_02_002
crossref_primary_10_1002_num_22700
crossref_primary_10_1016_j_oceaneng_2018_07_025
crossref_primary_10_1016_j_rinp_2021_104776
crossref_primary_10_1007_s11082_023_05425_0
crossref_primary_10_1016_j_cjph_2018_08_001
crossref_primary_10_1016_j_aej_2023_07_049
crossref_primary_10_1016_j_ijleo_2017_08_030
crossref_primary_10_1016_j_padiff_2022_100354
crossref_primary_10_1007_s11082_019_1773_4
crossref_primary_10_1016_j_ijleo_2017_08_116
crossref_primary_10_1080_09500340_2017_1407002
crossref_primary_10_1080_09500340_2017_1380857
crossref_primary_10_1515_zna_2018_0055
crossref_primary_10_1088_1572_9494_ac4411
crossref_primary_10_1007_s11082_022_03610_1
crossref_primary_10_1007_s11082_017_1288_9
crossref_primary_10_1016_j_ijleo_2017_11_124
crossref_primary_10_1007_s11082_017_1249_3
crossref_primary_10_1016_j_ijleo_2019_163870
crossref_primary_10_1007_s11082_017_1094_4
crossref_primary_10_1016_j_rinp_2021_104981
crossref_primary_10_1142_S0218348X20400356
crossref_primary_10_11948_2156_907X_20180103
crossref_primary_10_1209_0295_5075_ad0a3f
crossref_primary_10_12693_APhysPolA_133_20
crossref_primary_10_1016_j_rinp_2020_103039
Cites_doi 10.1080/09500340.2014.944357
10.1115/1.4029254
10.1186/1687-1847-2014-135
10.1166/jctn.2016.5425
10.1007/s11082-016-0371-y
10.1016/j.ijleo.2016.09.116
10.1063/1.4825907
10.1016/j.mcm.2010.07.013
10.1109/JAS.2016.7510172
10.1016/j.ijleo.2016.03.041
10.1080/09500340.2016.1184719
10.1080/17455030.2014.939246
10.1016/j.ijleo.2016.12.032
10.1007/s11071-016-2845-7
10.1080/17455030.2017.1296983
10.1166/jctn.2016.5429
10.1016/j.jmaa.2011.09.044
10.1007/s12591-014-0222-x
10.1088/0253-6102/65/5/563
10.1515/nleng-2016-0020
10.1007/s12043-016-1205-y
10.1016/j.ijleo.2016.10.116
10.1016/j.chaos.2004.09.122
10.1088/1674-1056/25/4/040204
10.1016/j.joes.2016.06.002
ContentType Journal Article
Copyright 2017 Informa UK Limited, trading as Taylor & Francis Group 2017
2017 Informa UK Limited, trading as Taylor & Francis Group
Copyright_xml – notice: 2017 Informa UK Limited, trading as Taylor & Francis Group 2017
– notice: 2017 Informa UK Limited, trading as Taylor & Francis Group
DBID AAYXX
CITATION
7SP
7U5
8FD
L7M
DOI 10.1080/09500340.2017.1302607
DatabaseName CrossRef
Electronics & Communications Abstracts
Solid State and Superconductivity Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
DatabaseTitle CrossRef
Solid State and Superconductivity Abstracts
Technology Research Database
Advanced Technologies Database with Aerospace
Electronics & Communications Abstracts
DatabaseTitleList
Solid State and Superconductivity Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1362-3044
EndPage 1692
ExternalDocumentID 10_1080_09500340_2017_1302607
1302607
Genre Short Communication
GroupedDBID -~X
.7F
.QJ
0BK
0R~
29L
30N
4.4
53G
5GY
5VS
8VB
AAENE
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACGOD
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AGDLA
AGMYJ
AHDZW
AIJEM
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AQRUH
AVBZW
AWYRJ
BLEHA
C5L
CCCUG
CE4
CS3
DGEBU
DKSSO
DU5
EBS
EJD
E~A
E~B
F5P
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
KYCEM
M4Z
MS~
NA5
O9-
P2P
PQQKQ
QWB
RIG
RNANH
RNS
ROSJB
RTWRZ
S-T
SNACF
TBQAZ
TCJPB
TDBHL
TEX
TFL
TFT
TFW
TTHFI
TUROJ
TWF
UT5
UU3
ZGOLN
ZL0
~S~
AAGDL
AAHIA
AAYXX
ADYSH
AFRVT
AIYEW
AMPGV
CITATION
7SP
7U5
8FD
L7M
TASJS
ID FETCH-LOGICAL-c338t-8f6115e9c24d95124df0febe784ebf9318cc5afc81a467bbd493de98a0fd01da3
ISSN 0950-0340
IngestDate Sat Jul 26 02:40:31 EDT 2025
Thu Apr 24 22:58:47 EDT 2025
Tue Jul 01 03:44:39 EDT 2025
Wed Dec 25 08:59:27 EST 2024
IsPeerReviewed true
IsScholarly true
Issue 16
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c338t-8f6115e9c24d95124df0febe784ebf9318cc5afc81a467bbd493de98a0fd01da3
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0001-5700-9127
0000-0001-9394-4681
PQID 1934028775
PQPubID 53194
PageCount 5
ParticipantIDs informaworld_taylorfrancis_310_1080_09500340_2017_1302607
proquest_journals_1934028775
crossref_citationtrail_10_1080_09500340_2017_1302607
crossref_primary_10_1080_09500340_2017_1302607
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2017-09-08
PublicationDateYYYYMMDD 2017-09-08
PublicationDate_xml – month: 09
  year: 2017
  text: 2017-09-08
  day: 08
PublicationDecade 2010
PublicationPlace Abingdon
PublicationPlace_xml – name: Abingdon
PublicationTitle Journal of modern optics
PublicationYear 2017
Publisher Taylor & Francis
Taylor & Francis Ltd
Publisher_xml – name: Taylor & Francis
– name: Taylor & Francis Ltd
References CIT0030
CIT0010
CIT0012
CIT0011
Hosseini K. (CIT0006) 2016; 7
Rafiqul Islam M. (CIT0002) 2017; 4
CIT0014
CIT0013
Ekici M. (CIT0022) 2016
CIT0016
CIT0015
CIT0018
CIT0017
CIT0019
CIT0021
CIT0001
CIT0023
Hosseini K. (CIT0024) 2016
CIT0003
CIT0025
CIT0005
CIT0027
CIT0004
CIT0026
CIT0007
CIT0029
Hosseini K. (CIT0020) 2014; 8
CIT0028
CIT0009
CIT0008
References_xml – ident: CIT0015
  doi: 10.1080/09500340.2014.944357
– ident: CIT0013
  doi: 10.1115/1.4029254
– ident: CIT0028
  doi: 10.1186/1687-1847-2014-135
– year: 2016
  ident: CIT0022
  publication-title: Optik
– ident: CIT0010
  doi: 10.1166/jctn.2016.5425
– year: 2016
  ident: CIT0024
  publication-title: Optik
– ident: CIT0003
  doi: 10.1007/s11082-016-0371-y
– ident: CIT0014
  doi: 10.1016/j.ijleo.2016.09.116
– ident: CIT0029
  doi: 10.1063/1.4825907
– ident: CIT0001
  doi: 10.1016/j.mcm.2010.07.013
– ident: CIT0008
  doi: 10.1109/JAS.2016.7510172
– volume: 8
  start-page: 391
  year: 2014
  ident: CIT0020
  publication-title: J. Nat. Sci. Sustainable Technol.
– ident: CIT0023
  doi: 10.1016/j.ijleo.2016.03.041
– ident: CIT0007
  doi: 10.1080/09500340.2016.1184719
– ident: CIT0009
  doi: 10.1080/17455030.2014.939246
– ident: CIT0025
  doi: 10.1016/j.ijleo.2016.12.032
– ident: CIT0021
  doi: 10.1007/s11071-016-2845-7
– volume: 7
  start-page: 58
  year: 2016
  ident: CIT0006
  publication-title: Nonlinear Sci. Lett. A
– ident: CIT0026
  doi: 10.1080/17455030.2017.1296983
– ident: CIT0011
  doi: 10.1166/jctn.2016.5429
– ident: CIT0018
  doi: 10.1016/j.jmaa.2011.09.044
– ident: CIT0019
  doi: 10.1007/s12591-014-0222-x
– ident: CIT0016
  doi: 10.1088/0253-6102/65/5/563
– ident: CIT0005
  doi: 10.1515/nleng-2016-0020
– ident: CIT0017
  doi: 10.1007/s12043-016-1205-y
– ident: CIT0012
  doi: 10.1016/j.ijleo.2016.10.116
– ident: CIT0004
  doi: 10.1016/j.chaos.2004.09.122
– ident: CIT0030
  doi: 10.1088/1674-1056/25/4/040204
– ident: CIT0027
  doi: 10.1016/j.joes.2016.06.002
– volume: 4
  start-page: 8
  year: 2017
  ident: CIT0002
  publication-title: J. Found. Appl. Phys.
SSID ssj0006032
Score 2.3831112
Snippet The properties of Tzitzéica equations in non-linear optics have been the subject of many recent studies. In this article, a new and effective modification of...
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 1688
SubjectTerms Dodd-Bullough-Mikhailov equation
Evolution
Linear evolution equations
modified Kudryashov method
new exact traveling wave solutions
Nonlinear equations
Nonlinear evolution equations
Nonlinear optics
Nonlinear programming
Tzitzéica equation
Tzitzéica-Dodd-Bullough equation
Title New exact traveling wave solutions of the Tzitzéica-type evolution equations arising in non-linear optics
URI https://www.tandfonline.com/doi/abs/10.1080/09500340.2017.1302607
https://www.proquest.com/docview/1934028775
Volume 64
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Lb9NAEF6FVEhcEE9RKGgP3CpHtnf9OpaXIlA5paLiYq33IUIbJ20cHvkd_Al-B3-M2WdcUlHKZRVZ3l3b82VmdndmPoSe00SBn5qJCAQOC5SMpRFLlU52L3khmCDS0Pkcvs_HR_TtcXY8GPzoRS2tumbE15fmlfyPVOEayFVnyV5DsmFQuAC_Qb7QgoSh_ScZ6-BE-U1nOXaaRchkln_VdEJhWh8CMFlPu7U9FAepRGbjVX5xd-3Ls5WLiNOUhC7LpZ23kfZB2fn-fNH5oPhtP3Zm2dR695ho3OVSTlsbKsBm31mIAX4hT6aWQPvTbJN8_Y4tTu1W7CG8xonsb0aAgdNHKz39CQ5bHMXEVmAaSatTdWIWiW2ZR690belyD66-Ck1yy_PnzHGSW668LVXvYiNhQj2fDtIrNLU1rM-KjW3z5_l_mLwQiJj4CqlumFoPU7thbqCdFBYf6RDtHIxfffwQLHweG-K78LI-M0zXbL_seS74PBcq4m55AMatmdxBt50c8YEF1100kO09dNPEBfPlffQZIIYNxHCAGNYQwwFieK4wQAwbiP366eGFA7xwgBd28MLTFm_ghS10HqCjN68nL8eRo-eIOCFlF5Uqh-WErHhKBfjp0KpYgU4oSiobVYGx4DxjipcJA2vcNIJWRMiqZLEScSIYeYiGMJd8hDBLVAH9GclzRSuRVbkAz5qlsmloldBiF1H_AWvuatdrCpXT-q8C3EWj0G1hi7dc1aHqS6fuzK6ZshQ3Nbmi754XZe10xLKG5REFD74ossfXfZYn6NbmH7aHht35Sj4FB7hrnjk8_gb5Nak_
linkProvider Library Specific Holdings
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3JTsMwELWgCMGFHVFWH7imZHHi5IgQqGw9tRI3y_EiFVBaaFjUP-I7-DFmslQUhDj0EkVKxnHs8fjZGr9HyDHzLODUUDvQ4bBACaXvSN_iYfdYcS11YAo5n9tO1O6xq7vw7ttZGEyrxDW0LYkiiliNgxs3o-uUuBOABcir4mJmFkc9YwDlfJ4shEnEUcUgcDuTaBy5hUgZmjhoU5_i-auYqflpir30V7QupqCLVaLqypeZJw-tlzxtqfEPXsfZ_m6NrFQIlZ6WLrVO5ky2QRaLTFE12iT3EBapeZcqpzlKF-FxdvoGN3TixXRgKeBK2h338_HnB7iBgzu91LxWb1DzVDKMjyhqIGIJ_Yxmg8zB-spnOhgie_QW6V2cd8_aTiXY4ChY6eZObCMAmCZRPtOA3OBqXQtewmNmUptA-FAqlFbFnoT4nKaaJYE2SSxdq11Py2CbNOBbZodQ6VkO9jKIIssSDT2rAWtJ36QpSzzGm4TV3SRUxWaOohqPwqtJT6tmFNiMomrGJmlNzIYlncd_Bsl3HxB5sY9iS9ETEfxju187jKgiw0gAYIYle8x5uDtD0Udkqd29vRE3l53rPbKMj4rEt3ifNPLnF3MASClPD4uh8AXOAgVy
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3JTsMwELWgCMSFHVEo4APXlKRxtiMCqrJVHFqJm-V4kQqoLU0KqH_Ed_BjzGSpKAhx6CWKlIzj2OPxG2vmDSEnzDGAUz1lwYSDg-KJhiUaBpPdQxkooVydlfO5a_utLrt-8MpowqQIq0Qf2uREEZmtxsU9VKaMiDsFVIC0KjYGZgVYzhgwebBIlnwkD8csDrs9Nca-ndUoQxELZcoknr-amdmeZshLfxnrbAdqrpO47HseePJUH6dxXU5-0DrO9XMbZK3Ap_QsV6hNsqD7W2Q5ixOVyTZ5BKNI9buQKU2xcBEms9M3uKFTHaYDQwFV0s6kl04-P0AJLDznpfq1eIPql5xfPKFYARFb6PVpf9C3sLtiRAdD5I7eId3mZee8ZRXlGiwJfm5qhcYHeKkj2WAKcBtcjW1AR4KQ6dhEYDyk9ISRoSPAOsexYpGrdBQK2yjbUcLdJRX4lt4jVDgmAHnh-r5hkfIiXwHSEg0dxyxyWFAlrJwlLgsucyyp8cydkvK0GEaOw8iLYayS-lRsmJN5_CcQfVcBnmanKCYvecLdf2Rrpb7wwi4kHOAyOOxhEHj7czR9TFbuL5r89qp9c0BW8UkW9RbWSCUdjfUhwKQ0PsoWwheK4QQW
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+exact+traveling+wave+solutions+of+the+Tzitz%C3%A9ica-type+evolution+equations+arising+in+non-linear+optics&rft.jtitle=Journal+of+modern+optics&rft.au=Hosseini%2C+Kamyar&rft.au=Bekir%2C+Ahmet&rft.au=Kaplan%2C+Melike&rft.date=2017-09-08&rft.issn=0950-0340&rft.eissn=1362-3044&rft.volume=64&rft.issue=16&rft.spage=1688&rft.epage=1692&rft_id=info:doi/10.1080%2F09500340.2017.1302607&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_09500340_2017_1302607
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0950-0340&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0950-0340&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0950-0340&client=summon