Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion
Saved in:
Published in | Physica. D Vol. 458; p. 133995 |
---|---|
Main Authors | , |
Format | Journal Article |
Language | English |
Published |
01.02.2024
|
Online Access | Get full text |
ISSN | 0167-2789 |
DOI | 10.1016/j.physd.2023.133995 |
Cover
ArticleNumber | 133995 |
---|---|
Author | Fan, Feiting Wei, Minzhi |
Author_xml | – sequence: 1 givenname: Feiting surname: Fan fullname: Fan, Feiting – sequence: 2 givenname: Minzhi surname: Wei fullname: Wei, Minzhi |
BookMark | eNp9kMtOwzAQRb0oEi3wBWz8Awl-JA1e0oqXVMSmrK3xi7oNTms7VP170pYVC1ZzNVdnpDkTNApdsAjdUlJSQqd363K7OiRTMsJ4STkXoh6h8dA0BWvuxSWapLQmhNCGN2OklhG-bevDJ94PIWEfMOBd70P2Gs9mb9juesi-C7gPxkasurzCxqccveqzNdjYFg4YgsF7CxusQG_2EIe9d65PA3iNLhy0yd78ziv08fS4nL8Ui_fn1_nDotCsErmodSMoqZXgTFhgFqaEDImpmulaGOJ05bRznNiKOycoM4ZXglFFGGgQlF8hfr6rY5dStE5uo_-CeJCUyKMauZYnNfKoRp7VDJT4Q2mfTw_nCL79l_0BlGdxzw |
CitedBy_id | crossref_primary_10_1016_j_physd_2025_134522 crossref_primary_10_1016_j_cnsns_2025_108647 |
Cites_doi | 10.1016/S0375-9601(97)00241-7 10.1016/j.cnsns.2004.06.002 10.1143/JPSJ.44.663 10.1016/j.jfa.2018.05.005 10.1016/j.rinp.2019.02.064 10.1016/j.aej.2020.11.028 10.1016/j.jmaa.2008.02.036 10.1016/0022-0396(79)90152-9 10.3846/13926292.2014.960016 10.1142/S021812742050162X 10.1016/j.jde.2011.05.026 10.1016/j.camwa.2011.06.060 10.1007/s11071-021-06975-2 10.1016/j.chaos.2006.09.028 10.1016/j.chaos.2005.02.014 10.1142/S0217984923500124 10.4310/CMS.2005.v3.n2.a4 10.1007/s11071-022-08043-9 10.4208/cicp.2019.js60.02 10.1016/j.cnsns.2009.08.003 10.3389/fphy.2020.00332 10.1016/j.jde.2016.08.003 10.1007/BF03167282 10.32917/hmj/1206128032 10.1098/rsta.1972.0032 10.1142/S0217984922501032 10.1090/S0002-9947-2010-05007-X 10.1016/j.aml.2021.107668 10.1016/j.cnsns.2021.106091 10.1137/S0363012999362499 10.1016/j.joes.2020.06.001 10.1007/s11071-015-1894-7 10.1142/S0218127423500608 10.1007/s11071-019-05137-9 10.1007/s11071-023-08743-w |
ContentType | Journal Article |
DBID | AAYXX CITATION |
DOI | 10.1016/j.physd.2023.133995 |
DatabaseName | CrossRef |
DatabaseTitle | CrossRef |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Engineering Physics |
ExternalDocumentID | 10_1016_j_physd_2023_133995 |
GroupedDBID | --K --M -~X .~1 0R~ 1B1 1RT 1~. 1~5 29O 4.4 457 4G. 5VS 7-5 71M 8P~ 9JN AAEDT AAEDW AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AATTM AAXKI AAXUO AAYWO AAYXX ABAOU ABFNM ABMAC ABNEU ABWVN ABXDB ACDAQ ACFVG ACGFS ACNCT ACNNM ACRLP ACRPL ADBBV ADEZE ADGUI ADIYS ADMUD ADNMO ADVLN AEBSH AEIPS AEKER AFFNX AFJKZ AFTJW AFXIZ AGCQF AGHFR AGQPQ AGRNS AGUBO AGYEJ AHHHB AIEXJ AIGVJ AIIUN AIKHN AITUG AIVDX ALMA_UNASSIGNED_HOLDINGS AMRAJ ANKPU APXCP ARUGR ASPBG AVWKF AXJTR AZFZN BBWZM BKOJK BLXMC BNPGV CITATION EBS EFJIC EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q GBLVA HMV HVGLF HZ~ H~9 IHE J1W K-O KOM M38 M41 MHUIS MO0 MVM N9A NDZJH O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SDF SDG SDP SES SEW SPC SPCBC SPD SPG SSH SSQ SSW SSZ T5K TN5 TWZ WUQ XJT XPP YNT YYP ~02 ~G- |
ID | FETCH-LOGICAL-c249t-5c79105b9329ea2ea60029e2b52c59d0fc4fcff30e43ff912dd34921b02aca913 |
ISSN | 0167-2789 |
IngestDate | Tue Jul 01 02:39:58 EDT 2025 Thu Apr 24 23:05:57 EDT 2025 |
IsPeerReviewed | true |
IsScholarly | true |
Language | English |
LinkModel | OpenURL |
MergedId | FETCHMERGED-LOGICAL-c249t-5c79105b9329ea2ea60029e2b52c59d0fc4fcff30e43ff912dd34921b02aca913 |
ParticipantIDs | crossref_primary_10_1016_j_physd_2023_133995 crossref_citationtrail_10_1016_j_physd_2023_133995 |
ProviderPackageCode | CITATION AAYXX |
PublicationCentury | 2000 |
PublicationDate | 2024-02-00 |
PublicationDateYYYYMMDD | 2024-02-01 |
PublicationDate_xml | – month: 02 year: 2024 text: 2024-02-00 |
PublicationDecade | 2020 |
PublicationTitle | Physica. D |
PublicationYear | 2024 |
References | Dai (10.1016/j.physd.2023.133995_b35) 2023; 13 Benjamin (10.1016/j.physd.2023.133995_b1) 1972; 272 Micu (10.1016/j.physd.2023.133995_b4) 2001; 39 Noor (10.1016/j.physd.2023.133995_b6) 2011; 62 Wang (10.1016/j.physd.2023.133995_b11) 2023; 37 Wang (10.1016/j.physd.2023.133995_b34) 2022; 124 Derks (10.1016/j.physd.2023.133995_b22) 1993; 10 Ogawa (10.1016/j.physd.2023.133995_b23) 1994; 24 Yan (10.1016/j.physd.2023.133995_b26) 2014; 19 Sun (10.1016/j.physd.2023.133995_b31) 2019; 24 Zhao (10.1016/j.physd.2023.133995_b37) 2008; 344 Wiggins (10.1016/j.physd.2023.133995_b43) 1988 Fan (10.1016/j.physd.2023.133995_b24) 2005; 26 Omrani (10.1016/j.physd.2023.133995_b18) 2006; 180 Khater (10.1016/j.physd.2023.133995_b9) 2021; 60 Fetecau (10.1016/j.physd.2023.133995_b2) 2005; 3 Guo (10.1016/j.physd.2023.133995_b33) 2020; 40 Wei (10.1016/j.physd.2023.133995_b40) 2023 Fenger (10.1016/j.physd.2023.133995_b12) 2019; 26 Ali (10.1016/j.physd.2023.133995_b8) 2021; 6 Du (10.1016/j.physd.2023.133995_b38) 2018; 275 Wang (10.1016/j.physd.2023.133995_b39) 2023; 111 Bona (10.1016/j.physd.2023.133995_b3) 1981 Zhao (10.1016/j.physd.2023.133995_b20) 2008; 37 Zhang (10.1016/j.physd.2023.133995_b25) 2020; 30 Rosenau (10.1016/j.physd.2023.133995_b17) 1997; 230 Zhao (10.1016/j.physd.2023.133995_b19) 2006; 175 Wazwaz (10.1016/j.physd.2023.133995_b16) 2005; 10 Rezazadeh (10.1016/j.physd.2023.133995_b14) 2020; 8 Fenichel (10.1016/j.physd.2023.133995_b41) 1979; 31 Dai (10.1016/j.physd.2023.133995_b36) 2023; 33 Seadawya (10.1016/j.physd.2023.133995_b13) 2019; 12 Zhang (10.1016/j.physd.2023.133995_b30) 2021; 106 Topper (10.1016/j.physd.2023.133995_b21) 1978; 44 Chen (10.1016/j.physd.2023.133995_b28) 2016; 261 Zhu (10.1016/j.physd.2023.133995_b29) 2019; 97 Abbasbandy (10.1016/j.physd.2023.133995_b5) 2010; 15 Tian (10.1016/j.physd.2023.133995_b10) 2022; 36 Shi (10.1016/j.physd.2023.133995_b15) 2022; 105 Mugnolo (10.1016/j.physd.2023.133995_b7) 2014; 21 Mañosas (10.1016/j.physd.2023.133995_b42) 2011; 251 Zhuang (10.1016/j.physd.2023.133995_b27) 2015; 80 Grau (10.1016/j.physd.2023.133995_b32) 2011; 363 |
References_xml | – volume: 230 start-page: 305 year: 1997 ident: 10.1016/j.physd.2023.133995_b17 article-title: On nonanalytic solitary waves formed by a nonlinear dispersion publication-title: Phys. Lett. A. doi: 10.1016/S0375-9601(97)00241-7 – volume: 175 start-page: 1760 issue: 2 year: 2006 ident: 10.1016/j.physd.2023.133995_b19 article-title: Bifurcations of traveling wave solutions for a class of the generalized Benjamin–Bona–Mahony equation publication-title: Appl. Math. Comput. – year: 1988 ident: 10.1016/j.physd.2023.133995_b43 article-title: Global bifurcations and chaos – volume: 10 start-page: 855 year: 2005 ident: 10.1016/j.physd.2023.133995_b16 article-title: Exact solution with compact and non-compact structures for the one-dimensional generalized Benjamin–Bona–Mahony equation publication-title: Comm. Non. Sci. Numer. Simulat. doi: 10.1016/j.cnsns.2004.06.002 – volume: 44 start-page: 663 year: 1978 ident: 10.1016/j.physd.2023.133995_b21 article-title: Approximate equations for long nonlinear waves on a viscous fluid publication-title: J. Phys. Soc. Japan doi: 10.1143/JPSJ.44.663 – volume: 24 start-page: 965 issue: 2 year: 2019 ident: 10.1016/j.physd.2023.133995_b31 article-title: Periodic traveling waves in a gengeralized BBM equation on with weak backward diffusion and dissipasion terms publication-title: Discrete. Cont. Dyn.-B – volume: 275 start-page: 988 year: 2018 ident: 10.1016/j.physd.2023.133995_b38 article-title: The existence of solitary wave solutions of delayed Camassa–Holm equation via a geometric approach publication-title: J. Funct. Anal. doi: 10.1016/j.jfa.2018.05.005 – volume: 12 start-page: 2234 year: 2019 ident: 10.1016/j.physd.2023.133995_b13 article-title: A variety of soliton solutions for the fractional Wazwaz-Benjamin-BonaMahony equations publication-title: Results Phys. doi: 10.1016/j.rinp.2019.02.064 – volume: 60 start-page: 1797 issue: 1 year: 2021 ident: 10.1016/j.physd.2023.133995_b9 article-title: Novel computational and accurate numerical solutions of the modified Benjamin–Bona–Mahony (BBM) equation arising in the optical illusions field publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2020.11.028 – volume: 344 start-page: 32 year: 2008 ident: 10.1016/j.physd.2023.133995_b37 article-title: Solitary waves of the generalized KdV equation with distributed delays publication-title: J. Math. Anal. Appl. doi: 10.1016/j.jmaa.2008.02.036 – volume: 13 start-page: 502 issue: 1 year: 2023 ident: 10.1016/j.physd.2023.133995_b35 article-title: Existence and uniqueness of periodic waves for a perturbed sextic generalized BBM equation publication-title: J. Appl. Anal. Comput. – year: 1981 ident: 10.1016/j.physd.2023.133995_b3 article-title: On solitary waves and their role in the evolution of long waves – volume: 31 start-page: 53 year: 1979 ident: 10.1016/j.physd.2023.133995_b41 article-title: Geometric singular perturbation theory for ordinary differential equations publication-title: J. Differ. Equ. doi: 10.1016/0022-0396(79)90152-9 – volume: 19 start-page: 537 issue: 4 year: 2014 ident: 10.1016/j.physd.2023.133995_b26 article-title: Existence of solitary waves and periodic waves to a perturbed generalized KdV equation publication-title: Math. Model. Anal. doi: 10.3846/13926292.2014.960016 – volume: 30 issue: 11 year: 2020 ident: 10.1016/j.physd.2023.133995_b25 article-title: A new type of solitary wave solution of the mKdV equation under singular perturbations publication-title: Int. J. Bifurcation Chaos doi: 10.1142/S021812742050162X – volume: 251 start-page: 1656 issue: 6 year: 2011 ident: 10.1016/j.physd.2023.133995_b42 article-title: Bounding the number of zeros of certain Abelian integrals publication-title: J. Differ. Equ. doi: 10.1016/j.jde.2011.05.026 – volume: 62 start-page: 2126 year: 2011 ident: 10.1016/j.physd.2023.133995_b6 article-title: Some new solitonary solutions of the modified Benjamin–Bona–Mahony equation publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2011.06.060 – volume: 180 start-page: 614 issue: 2 year: 2006 ident: 10.1016/j.physd.2023.133995_b18 article-title: The convergence of fully discrete Galerkin approximations for the Benjamin–Bona–Mahony (BBM) equation publication-title: Appl. Math. Comput. – volume: 106 start-page: 3479 year: 2021 ident: 10.1016/j.physd.2023.133995_b30 article-title: New type of solitary wave solution with coexisting crest and trough for a perturbed wave equation publication-title: Nonlinear Dynam. doi: 10.1007/s11071-021-06975-2 – volume: 37 start-page: 525 issue: 2 year: 2008 ident: 10.1016/j.physd.2023.133995_b20 article-title: Bifurcations of travelling wave solutions in a non-linear dispersive equation publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2006.09.028 – volume: 26 start-page: 1111 issue: 4 year: 2005 ident: 10.1016/j.physd.2023.133995_b24 article-title: The existence of solitary waves of singularly perturbed mKdV-KS equation publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2005.02.014 – volume: 37 issue: 11 year: 2023 ident: 10.1016/j.physd.2023.133995_b11 article-title: Diverse wave structures to the modified Benjamin–Bona–Mahony equation in the optical illusions field publication-title: Modern Phys. Lett. B doi: 10.1142/S0217984923500124 – volume: 3 start-page: 159 issue: 2 year: 2005 ident: 10.1016/j.physd.2023.133995_b2 article-title: Approximate model equations for water waves publication-title: Commun. Math. Sci. doi: 10.4310/CMS.2005.v3.n2.a4 – volume: 40 start-page: 4689 year: 2020 ident: 10.1016/j.physd.2023.133995_b33 article-title: Existence of periodic waves for a perturbed quintic BBM equation publication-title: Dyn. Syst. Ser. B – volume: 111 start-page: 4631 year: 2023 ident: 10.1016/j.physd.2023.133995_b39 article-title: New solitary wave solutions of a generalized BBM equation with distributed delays publication-title: Nonlinear Dyn. doi: 10.1007/s11071-022-08043-9 – volume: 26 start-page: 1397 issue: 5 year: 2019 ident: 10.1016/j.physd.2023.133995_b12 article-title: Numerical analysis of the midpoint scheme for the generalized Benjamin–Bona–Mahony equation with white noise dispersion publication-title: Commun. Comput. Phys. doi: 10.4208/cicp.2019.js60.02 – volume: 15 start-page: 1759 issue: 7 year: 2010 ident: 10.1016/j.physd.2023.133995_b5 article-title: The first integral method for modified Benjamin–Bona–Mahony equation publication-title: Commun. Nonlinear Sci. doi: 10.1016/j.cnsns.2009.08.003 – volume: 8 start-page: 332 year: 2020 ident: 10.1016/j.physd.2023.133995_b14 article-title: New solitary wave solutions for variants of (3+1)-dimensional Wazwaz-Benjamin–Bona–Mahony equations publication-title: Front. Phys. doi: 10.3389/fphy.2020.00332 – volume: 261 start-page: 5324 year: 2016 ident: 10.1016/j.physd.2023.133995_b28 article-title: Existence of solitary waves and periodic waves for a perturbed generalized BBM equation publication-title: J. Differ. Equ. doi: 10.1016/j.jde.2016.08.003 – volume: 10 start-page: 413 year: 1993 ident: 10.1016/j.physd.2023.133995_b22 article-title: On the uniqueness of traveling waves in perturbed Korteweg–de Vries equations publication-title: Jpn. J. Indust. Appl. Math. doi: 10.1007/BF03167282 – volume: 24 start-page: 401 year: 1994 ident: 10.1016/j.physd.2023.133995_b23 article-title: Travelling wave solutions to a perturbed Korteweg–de Vries equation publication-title: Hiroshima Math. J. doi: 10.32917/hmj/1206128032 – volume: 272 start-page: 47 year: 1972 ident: 10.1016/j.physd.2023.133995_b1 article-title: Model equations for long waves in nonlinear dispersive system publication-title: Philos. Trans. R. Soc. Lond. A Math. Phys. Eng. Sci. doi: 10.1098/rsta.1972.0032 – volume: 21 start-page: 415 year: 2014 ident: 10.1016/j.physd.2023.133995_b7 article-title: Construction of exact travelling waves for the Benjamin–Bona–Mahony equation on networks publication-title: B. Belg. Math. Soc-Sim. – volume: 36 issue: 23 year: 2022 ident: 10.1016/j.physd.2023.133995_b10 article-title: Exact traveling wave solutions of the strain wave and (1+1)-dimensional Benjamin–Bona–Mahony equations via the simplest equation method publication-title: Mod. Phys. Lett. B doi: 10.1142/S0217984922501032 – volume: 363 start-page: 109 year: 2011 ident: 10.1016/j.physd.2023.133995_b32 article-title: A Chebyshev criterion for Abelian integrals publication-title: Trans. Amer. Math. Soc. doi: 10.1090/S0002-9947-2010-05007-X – volume: 124 year: 2022 ident: 10.1016/j.physd.2023.133995_b34 article-title: Persistence of solitary wave solutions to a singularly perturbed generalized mKdV equation publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2021.107668 – volume: 105 year: 2022 ident: 10.1016/j.physd.2023.133995_b15 article-title: Quasi-periodic solutions for the generalized Benjamin–Bona–Mahony equation publication-title: Commun. Nonlinear Sci. doi: 10.1016/j.cnsns.2021.106091 – volume: 39 start-page: 1677 year: 2001 ident: 10.1016/j.physd.2023.133995_b4 article-title: On the controllability of the linearized Benjamin–Bona–Mahony equation publication-title: SIAM J. Control. Optim. doi: 10.1137/S0363012999362499 – volume: 6 start-page: 85 year: 2021 ident: 10.1016/j.physd.2023.133995_b8 article-title: Dispersive soliton solutions for shallow water wave system and modified Benjamin–Bona–Mahony equations via applications of mathematical methods publication-title: J. Ocean. Eng. Sci. doi: 10.1016/j.joes.2020.06.001 – volume: 80 start-page: 629 issue: 1–2 year: 2015 ident: 10.1016/j.physd.2023.133995_b27 article-title: Solitary waves solutions of singularly perturbed higher-order KdV equation via geometric singular perturbation method publication-title: Nonlinear Dynam. doi: 10.1007/s11071-015-1894-7 – volume: 33 issue: 5 year: 2023 ident: 10.1016/j.physd.2023.133995_b36 article-title: Existence of periodic waves in a perturbed generalized BBM equation publication-title: Int. J. Bifurcation Chaos doi: 10.1142/S0218127423500608 – volume: 97 start-page: 2413 year: 2019 ident: 10.1016/j.physd.2023.133995_b29 article-title: New solitary wave solutions in a perturbed generalized BBM equation publication-title: Nonlinear Dynam. doi: 10.1007/s11071-019-05137-9 – year: 2023 ident: 10.1016/j.physd.2023.133995_b40 article-title: Existence of periodic wave of a BBM equation with delayed convection and weak diffusion publication-title: Nonlinear Dyn. doi: 10.1007/s11071-023-08743-w |
SSID | ssj0001737 |
Score | 2.4563122 |
SourceID | crossref |
SourceType | Enrichment Source Index Database |
StartPage | 133995 |
Title | Traveling waves in a quintic BBM equation under both distributed delay and weak backward diffusion |
Volume | 458 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnZ1Na9wwEIZFuiXQHkKbpCRNW3TozbVZy3JcH7OhZSkk5LALezOSLBGnxfnydmEP_e2dkSzbSUpochHGyML4MdJoNPMOIZ8zFR-KRCahSZgJucIyL5lIQzCtuTAoeZNg7vDJ6eF0zn8s0kVfSs5mlzQyUut_5pU8hyrcA66YJfsEst2gcAOugS-0QBja_2OMtYNsPvlK_LaRVYEIrpdVjSqsk8lJoK-dkretdnsTSMCCRzKuyhWYmigR6QSYVlr8DCQ689CvgGVTlrceWWu7njmkUTBQcHTGr64avwLaQ57KBeTX6_Nq6FVg3Aci945GmEAxS3Y4U3Knst7OdbC7zV2BzAfTsPMIXETonUE5VpZEfe-7otf3FqMuRNBHn10UdpACByncIC_IS5Zl9lA--tMH9MSZU0j1b-41pmw034M3GdghA4Ni9oZstTsBeuSwviUbut4mrwf6kNtk033y2x0iO9TUoqZVTQVtUVNATT1qalFTRE0HqKlFTQE1RdTUo6Yd6l0y__5tdjwN2_IYoYI9cxOmKgNbL5VggedaMC3sEatmMmUqzcuxUdwoY5Kx5okxeczKEqUoYzlmQok8Tt6RUX1Z6z1CleTx2EhRCthfp4J_5RrTSEumy1IaqfYJ8x-rUK12PJYw-VU8gmmffOkeunLSKY91f_-07gfkVf_ffiCj5mapP4J92MhP9rf4Cwo3Zs8 |
linkProvider | Elsevier |
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=Traveling+waves+in+a+quintic+BBM+equation+under+both+distributed+delay+and+weak+backward+diffusion&rft.jtitle=Physica.+D&rft.au=Fan%2C+Feiting&rft.au=Wei%2C+Minzhi&rft.date=2024-02-01&rft.issn=0167-2789&rft.volume=458&rft.spage=133995&rft_id=info:doi/10.1016%2Fj.physd.2023.133995&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_physd_2023_133995 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0167-2789&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0167-2789&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0167-2789&client=summon |