Symmetric and Anti-Symmetric Solitons of the Fractional Second- and Third-Order Nonlinear Schrödinger Equation

The fractional second-and third-order nonlinear Schr?dinger equation is studied,symmetric and antisymmetric soliton solutions are derived,and the influence of the Levy index on different solitons is analyzed.The stability and stability interval of solitons are discussed.The anti-interference ability...

Full description

Saved in:
Bibliographic Details
Published inChinese physics letters Vol. 38; no. 9; pp. 90501 - 21
Main Authors Cao, Qi-Hao, Dai, Chao-Qing
Format Journal Article
LanguageEnglish
Published College of Optical,Mechanical and Electrical Engineering,Zhejiang A&F University,Lin'an 311300,China 01.10.2021
Online AccessGet full text

Cover

Loading…
Abstract The fractional second-and third-order nonlinear Schr?dinger equation is studied,symmetric and antisymmetric soliton solutions are derived,and the influence of the Levy index on different solitons is analyzed.The stability and stability interval of solitons are discussed.The anti-interference ability of stable solitons to the small disturbance shows a good robustness.
AbstractList The fractional second-and third-order nonlinear Schr?dinger equation is studied,symmetric and antisymmetric soliton solutions are derived,and the influence of the Levy index on different solitons is analyzed.The stability and stability interval of solitons are discussed.The anti-interference ability of stable solitons to the small disturbance shows a good robustness.
Author Dai, Chao-Qing
Cao, Qi-Hao
AuthorAffiliation College of Optical,Mechanical and Electrical Engineering,Zhejiang A&F University,Lin'an 311300,China
AuthorAffiliation_xml – name: College of Optical,Mechanical and Electrical Engineering,Zhejiang A&F University,Lin'an 311300,China
Author_xml – sequence: 1
  givenname: Qi-Hao
  surname: Cao
  fullname: Cao, Qi-Hao
– sequence: 2
  givenname: Chao-Qing
  surname: Dai
  fullname: Dai, Chao-Qing
BookMark eNqFkMFKw0AQhhepYK0-grBXDzGzSbbZ4KmUVoViD6ngbdnsbtqt6a5uUkp9MF_AFzNpRcGLlxkY_m-Y-c5RzzqrEboicEOAsRAiOgxiSJ_DmIVZCBlQICeoT9KEBDFNoIf6P5kzdF7XawBCGCF95PL9ZqMbbyQWVuGRbUzwO8pdZRpna-xK3Kw0nnohG-OsqHCupbMqOFCLlfEqmHulPX50tjJWC49zufKfH8rYZTuevG1FR16g01JUtb787gP0NJ0sxvfBbH73MB7NAhmxtAmUACiUjCiVGSWUKqmHKpGRYmUqZJzKpH1ciLYQBTErtch0QmmRSSqhSEQ8QNfHvTthS2GXfO22vr275u_LXfVScB1BRFpVkLTZ22NWelfXXpdcmuZwbeOFqTgB3nnmnUPeOeQx4xk_em5p-od-9WYj_P4f7gsZLIXH
CitedBy_id crossref_primary_10_1007_s11071_024_09336_x
crossref_primary_10_1007_s11082_022_04368_2
crossref_primary_10_1016_j_chaos_2023_113451
crossref_primary_10_1007_s11071_021_06915_0
crossref_primary_10_1016_j_chaos_2021_111393
crossref_primary_10_1007_s11082_023_04635_w
crossref_primary_10_1007_s11071_022_07510_7
crossref_primary_10_1016_j_chaos_2024_115230
crossref_primary_10_1016_j_optlastec_2022_108428
crossref_primary_10_1088_0256_307X_39_2_020301
crossref_primary_10_1016_j_ijleo_2021_168092
crossref_primary_10_1007_s11071_022_07884_8
crossref_primary_10_1007_s11071_024_09328_x
crossref_primary_10_1140_epjd_s10053_022_00435_1
crossref_primary_10_1142_S0218863524500310
crossref_primary_10_1016_j_chaos_2022_112118
crossref_primary_10_1088_1367_2630_ad49c4
crossref_primary_10_1007_s11071_021_07123_6
crossref_primary_10_1088_0256_307X_41_2_020501
crossref_primary_10_1088_2040_8986_ac2878
crossref_primary_10_1007_s13137_022_00194_6
crossref_primary_10_3390_sym15010065
crossref_primary_10_1016_j_chaos_2023_113597
crossref_primary_10_1016_j_chaos_2022_112143
crossref_primary_10_3934_math_2022555
crossref_primary_10_1016_j_rinp_2022_105400
crossref_primary_10_1016_j_optcom_2022_128439
crossref_primary_10_1063_5_0091738
crossref_primary_10_1016_j_aml_2021_107701
crossref_primary_10_1016_j_rinp_2021_105073
crossref_primary_10_1088_1674_1056_ac4cc5
crossref_primary_10_1016_j_chaos_2022_112895
crossref_primary_10_1088_1402_4896_ac7a6b
crossref_primary_10_1007_s11071_022_07767_y
crossref_primary_10_1016_j_chaos_2023_114330
crossref_primary_10_1016_j_ijleo_2022_168639
crossref_primary_10_1007_s11071_022_07566_5
crossref_primary_10_3390_sym15020532
crossref_primary_10_1016_j_chaos_2024_115284
crossref_primary_10_1088_1674_1056_ac2d22
crossref_primary_10_1098_rspa_2023_0580
crossref_primary_10_3390_math10173197
crossref_primary_10_59277_RomRepPhys_2024_76_402
crossref_primary_10_1007_s11071_022_08068_0
crossref_primary_10_1016_j_rinp_2022_105411
crossref_primary_10_7498_aps_72_20222284
crossref_primary_10_1016_j_aej_2024_04_003
crossref_primary_10_1007_s11071_022_07844_2
crossref_primary_10_1016_j_chaos_2022_112441
crossref_primary_10_1142_S0217984922501111
crossref_primary_10_1016_j_cnsns_2021_106148
crossref_primary_10_1007_s12648_022_02553_3
crossref_primary_10_1016_j_ijleo_2022_168697
crossref_primary_10_1142_S0218863522500047
crossref_primary_10_1016_j_cam_2024_116184
crossref_primary_10_1080_17455030_2023_2184640
crossref_primary_10_1016_j_physleta_2023_128794
crossref_primary_10_1142_S0217979224501807
crossref_primary_10_1088_0256_307X_40_12_120202
crossref_primary_10_1016_j_aml_2021_107719
crossref_primary_10_1103_PhysRevE_108_044210
crossref_primary_10_3390_sym15010097
crossref_primary_10_1016_j_ijleo_2022_168859
crossref_primary_10_1016_j_rinp_2021_104844
crossref_primary_10_1088_1572_9494_ac6fc7
crossref_primary_10_3934_math_2022670
crossref_primary_10_1007_s11071_022_07629_7
crossref_primary_10_1007_s11071_022_07833_5
crossref_primary_10_1088_0256_307X_40_8_080502
crossref_primary_10_1063_5_0068096
crossref_primary_10_1088_0256_307X_39_4_044202
crossref_primary_10_1016_j_rinp_2023_107145
crossref_primary_10_1142_S0217979223502867
crossref_primary_10_3390_sym15010144
crossref_primary_10_1016_j_ijleo_2022_168708
crossref_primary_10_1088_1572_9494_ac42c1
crossref_primary_10_1007_s12043_023_02573_6
crossref_primary_10_1088_0256_307X_39_11_114202
crossref_primary_10_1088_0256_307X_39_3_034202
crossref_primary_10_1016_j_cnsns_2022_106282
crossref_primary_10_1016_j_chaos_2024_115010
crossref_primary_10_1140_epjp_s13360_022_03300_7
crossref_primary_10_1016_j_chaos_2022_112908
crossref_primary_10_3788_gzxb20235206_0619001
crossref_primary_10_1088_1402_4896_acafae
crossref_primary_10_1016_j_chaos_2022_112907
crossref_primary_10_1016_j_rinp_2021_104872
crossref_primary_10_1016_j_rinp_2022_105448
crossref_primary_10_1016_j_rinp_2022_106020
crossref_primary_10_1007_s11082_023_05965_5
crossref_primary_10_1142_S0217979222500448
crossref_primary_10_1007_s11071_022_07583_4
crossref_primary_10_1007_s11071_022_07337_2
crossref_primary_10_1088_0256_307X_40_7_070501
crossref_primary_10_1016_j_ijleo_2021_168418
crossref_primary_10_1007_s11071_022_08092_0
crossref_primary_10_1007_s11071_022_07799_4
crossref_primary_10_3390_sym14112316
crossref_primary_10_3390_math10234475
crossref_primary_10_1007_s12043_022_02448_2
crossref_primary_10_1007_s11071_022_07503_6
crossref_primary_10_1016_j_optcom_2022_128483
crossref_primary_10_1016_j_cjph_2021_08_020
crossref_primary_10_1016_j_ijleo_2022_169250
crossref_primary_10_1016_j_rinp_2021_104860
crossref_primary_10_1515_nleng_2022_0319
Cites_doi 10.1088/0256-307X/37/10/100501
10.1016/j.jare.2018.09.001
10.1007/s11071-020-05985-w
10.1007/s11071-020-05967-y
10.1088/0256-307X/37/3/030501
10.1038/nature03101
10.1007/s11071-021-06550-9
10.1016/j.chaos.2020.109602
10.1016/S0370-1573(97)00073-2
10.1016/j.aej.2020.08.027
10.1364/OL.40.001117
10.1103/PhysRevE.74.066614
10.1016/j.jare.2020.04.003
10.1088/0256-307X/37/3/030302
10.1103/PhysRevLett.97.250402
10.1016/j.jde.2018.10.053
10.1364/OE.415028
10.1103/PhysRevA.101.033610
10.1088/0256-307X/37/5/050502
10.1103/PhysRevA.84.053854
ContentType Journal Article
Copyright Copyright © Wanfang Data Co. Ltd. All Rights Reserved.
Copyright_xml – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved.
DBID AAYXX
CITATION
2B.
4A8
92I
93N
PSX
TCJ
DOI 10.1088/0256-307X/38/9/090501
DatabaseName CrossRef
Wanfang Data Journals - Hong Kong
WANFANG Data Centre
Wanfang Data Journals
万方数据期刊 - 香港版
China Online Journals (COJ)
China Online Journals (COJ)
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1741-3540
EndPage 21
ExternalDocumentID zgwlkb_e202109004
10_1088_0256_307X_38_9_090501
GrantInformation_xml – fundername: (Supported by the Zhejiang Provincial Natural Science Foundation of China); (the National Natural Science Foundation of China); (and the Scientific Research and Developed Fund of Zhejiang A&F University)
  funderid: (Supported by the Zhejiang Provincial Natural Science Foundation of China); (the National Natural Science Foundation of China); (and the Scientific Research and Developed Fund of Zhejiang A&F University)
GroupedDBID -SA
-S~
1JI
29B
4.4
5B3
5GY
5VR
5VS
5ZH
7.M
7.Q
AAGCD
AAJIO
AAJKP
AATNI
AAYXX
ABHWH
ABJNI
ABQJV
ACAFW
ACGFS
ACHIP
ADEQX
AEFHF
AENEX
AFYNE
AKPSB
ALMA_UNASSIGNED_HOLDINGS
AOAED
ASPBG
ATQHT
AVWKF
AZFZN
CAJEA
CEBXE
CITATION
CJUJL
CRLBU
CS3
EBS
EDWGO
EMSAF
EPQRW
EQZZN
IHE
IJHAN
IOP
IZVLO
KOT
LAP
M45
N5L
N9A
NS0
P2P
PJBAE
Q--
R4D
RIN
RNS
RO9
ROL
RPA
SY9
TGP
U1G
U5K
W28
XPP
~02
02O
042
1WK
2B.
4A8
92I
93N
AALHV
ACARI
AERVB
AFUIB
AGQPQ
AHSEE
ARNYC
BBWZM
EJD
FEDTE
HVGLF
JCGBZ
NT-
NT.
PSX
Q02
S3P
T37
TCJ
ID FETCH-LOGICAL-c287t-da00bdc255c95155dce6d4c2d8f7ac37c4088aa0881d038fea9e455b9c5c0b4a3
ISSN 0256-307X
IngestDate Thu May 29 04:07:19 EDT 2025
Thu Apr 24 23:09:48 EDT 2025
Tue Jul 01 01:35:37 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 9
Language English
LinkModel OpenURL
MergedId FETCHMERGED-LOGICAL-c287t-da00bdc255c95155dce6d4c2d8f7ac37c4088aa0881d038fea9e455b9c5c0b4a3
PageCount 4
ParticipantIDs wanfang_journals_zgwlkb_e202109004
crossref_citationtrail_10_1088_0256_307X_38_9_090501
crossref_primary_10_1088_0256_307X_38_9_090501
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2021-10-01
PublicationDateYYYYMMDD 2021-10-01
PublicationDate_xml – month: 10
  year: 2021
  text: 2021-10-01
  day: 01
PublicationDecade 2020
PublicationTitle Chinese physics letters
PublicationTitle_FL Chinese Physics Letters
PublicationYear 2021
Publisher College of Optical,Mechanical and Electrical Engineering,Zhejiang A&F University,Lin'an 311300,China
Publisher_xml – name: College of Optical,Mechanical and Electrical Engineering,Zhejiang A&F University,Lin'an 311300,China
References Griesmaier (cpl_38_9_090501bib17) 2006; 97
Dong (cpl_38_9_090501bib11) 2020; 102
Liu (cpl_38_9_090501bib10) 2020; 24
Wen (cpl_38_9_090501bib3) 2020; 101
Li (cpl_38_9_090501bib15) 2021; 29
Kivshar (cpl_38_9_090501bib1) 1998; 298
Yu (cpl_38_9_090501bib2) 2019; 15
Longhi (cpl_38_9_090501bib14) 2015; 40
Mihalache (cpl_38_9_090501bib19) 2006; 74
Wang (cpl_38_9_090501bib5) 2020; 37
Li (cpl_38_9_090501bib4) 2020; 37
Li (cpl_38_9_090501bib16) 2020; 132
Wang (cpl_38_9_090501bib6) 2020; 37
Esbensen (cpl_38_9_090501bib20) 2011; 84
Wang (cpl_38_9_090501bib8) 2019; 266
Marco (cpl_38_9_090501bib18) 2004; 432
Fang (cpl_38_9_090501bib7) 2021; 105
Dai (cpl_38_9_090501bib9) 2020; 102
Wang (cpl_38_9_090501bib13) 2020; 59
Zhao (cpl_38_9_090501bib12) 2020; 37
References_xml – volume: 37
  year: 2020
  ident: cpl_38_9_090501bib6
  publication-title: Chin. Phys. Lett.
  doi: 10.1088/0256-307X/37/10/100501
– volume: 15
  start-page: 69
  year: 2019
  ident: cpl_38_9_090501bib2
  publication-title: J. Adv. Res.
  doi: 10.1016/j.jare.2018.09.001
– volume: 102
  start-page: 1733
  year: 2020
  ident: cpl_38_9_090501bib9
  publication-title: Nonlinear Dyn.
  doi: 10.1007/s11071-020-05985-w
– volume: 102
  start-page: 303
  year: 2020
  ident: cpl_38_9_090501bib11
  publication-title: Nonlinear Dyn.
  doi: 10.1007/s11071-020-05967-y
– volume: 37
  year: 2020
  ident: cpl_38_9_090501bib5
  publication-title: Chin. Phys. Lett.
  doi: 10.1088/0256-307X/37/3/030501
– volume: 432
  start-page: 733
  year: 2004
  ident: cpl_38_9_090501bib18
  publication-title: Nature
  doi: 10.1038/nature03101
– volume: 105
  start-page: 603
  year: 2021
  ident: cpl_38_9_090501bib7
  publication-title: Nonlinear Dyn.
  doi: 10.1007/s11071-021-06550-9
– volume: 132
  year: 2020
  ident: cpl_38_9_090501bib16
  publication-title: Chaos Solitons Fractals
  doi: 10.1016/j.chaos.2020.109602
– volume: 298
  start-page: 81
  year: 1998
  ident: cpl_38_9_090501bib1
  publication-title: Phys. Rep.
  doi: 10.1016/S0370-1573(97)00073-2
– volume: 59
  start-page: 4699
  year: 2020
  ident: cpl_38_9_090501bib13
  publication-title: Alexandria Eng. J.
  doi: 10.1016/j.aej.2020.08.027
– volume: 40
  start-page: 1117
  year: 2015
  ident: cpl_38_9_090501bib14
  publication-title: Opt. Lett.
  doi: 10.1364/OL.40.001117
– volume: 74
  year: 2006
  ident: cpl_38_9_090501bib19
  publication-title: Phys. Rev. E
  doi: 10.1103/PhysRevE.74.066614
– volume: 24
  start-page: 167
  year: 2020
  ident: cpl_38_9_090501bib10
  publication-title: J. Adv. Res.
  doi: 10.1016/j.jare.2020.04.003
– volume: 37
  year: 2020
  ident: cpl_38_9_090501bib4
  publication-title: Chin. Phys. Lett.
  doi: 10.1088/0256-307X/37/3/030302
– volume: 97
  year: 2006
  ident: cpl_38_9_090501bib17
  publication-title: Phys. Rev. Lett.
  doi: 10.1103/PhysRevLett.97.250402
– volume: 266
  start-page: 5209
  year: 2019
  ident: cpl_38_9_090501bib8
  publication-title: J. Diff. Eq.
  doi: 10.1016/j.jde.2018.10.053
– volume: 29
  start-page: 3193
  year: 2021
  ident: cpl_38_9_090501bib15
  publication-title: Opt. Express
  doi: 10.1364/OE.415028
– volume: 101
  year: 2020
  ident: cpl_38_9_090501bib3
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.101.033610
– volume: 37
  year: 2020
  ident: cpl_38_9_090501bib12
  publication-title: Chin. Phys. Lett.
  doi: 10.1088/0256-307X/37/5/050502
– volume: 84
  year: 2011
  ident: cpl_38_9_090501bib20
  publication-title: Phys. Rev. A
  doi: 10.1103/PhysRevA.84.053854
SSID ssj0011811
Score 2.5826538
Snippet The fractional second-and third-order nonlinear Schr?dinger equation is studied,symmetric and antisymmetric soliton solutions are derived,and the influence of...
SourceID wanfang
crossref
SourceType Aggregation Database
Enrichment Source
Index Database
StartPage 90501
Title Symmetric and Anti-Symmetric Solitons of the Fractional Second- and Third-Order Nonlinear Schrödinger Equation
URI https://d.wanfangdata.com.cn/periodical/zgwlkb-e202109004
Volume 38
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Za9wwEBZtSqAvoSdNeiBK34KytmXvSo9pSFj6kINsYN-ELidLNna7cQjND-sf6B_r6LC925a26YswwhqD59NoZjQHQh8U1yqxmpFEpZrkViZEwjlAVFbKoVSGUuWjfA-H47P807SY9j5dn13SqB1999u8kv_hKswBX12W7D042xGFCXgG_sIIHIbxn3h8-vXqynXECiVXd6tmRvqpUxfZFqPcnHZ5sAg5DK78h7OCDfGrJhezhSFHrgLn9mGomyEXrjinv0P_ODShUuH-l5ueh21lgwvfvzJ6R6635z41qFPS96R3w57MyFjWvUd8Fm_5a3LSHpvR65ClXfxaK5xAVXJ-q2k4R4LwBO2EOD_SsnSlbAlFfElU8qQIBH8R4iD4fL2L-AV49jXcub9oaletls7-6UjrAg39FTtjwhETjpigTHARyDxEjzIwLnza59Fxd_cEOo_vs9h-v837YmzQzQ0oG_BBILOi0azfyqqU1fmSkjJ5gjaidYF3A1Seoge2eobWjwN_nqO6QwcG1uNVwOAWMLguMQAG94DBETB-1RJgcAcY7ADz_VsAC27B8gKdHexP9sYkdtwgGiznhhiZJMpoMDM1d71_jLZDk-vMsHIkNR3pHP6ClDCkJqGstJLbvChgwxc6UbmkL9FaVVf2FcIUTO_MRTHR1OQjKnnKWVqmqqQWdEhjN1He_jWhYzl61xVlLv7Is0200y37HOqx_G3B-8gSEXfutbg7v51fKmEdsOGtJN-6L9XX6HG_K96gtWZxY9-Cdtqodx5MPwACuojL
linkProvider IOP Publishing
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=Symmetric+and+Anti-Symmetric+Solitons+of+the+Fractional+Second-+and+Third-Order+Nonlinear+Schr%C3%B6dinger+Equation&rft.jtitle=Chinese+physics+letters&rft.au=Cao%2C+Qi-Hao&rft.au=Dai%2C+Chao-Qing&rft.date=2021-10-01&rft.issn=0256-307X&rft.eissn=1741-3540&rft.volume=38&rft.issue=9&rft.spage=90501&rft_id=info:doi/10.1088%2F0256-307X%2F38%2F9%2F090501&rft.externalDBID=n%2Fa&rft.externalDocID=10_1088_0256_307X_38_9_090501
thumbnail_s http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fzgwlkb-e%2Fzgwlkb-e.jpg