Construction of Novel Bright-Dark Solitons and Breather Waves of Unstable Nonlinear Schrodinger Equations with Applications

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dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.authoridRezapour, Shahram/0000-0003-3463-2607
dc.authoridArshad, Muhammad/0000-0002-9100-6082
dc.authoridde la Sen, manuel/0000-0001-9320-9433
dc.authoridahmed, Iftikhar/0000-0001-5768-4085
dc.contributor.authorSarwar, Ambreen
dc.contributor.authorArshad, Muhammad
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAhmed, Iftikhar
dc.contributor.authorBayram, Mustafa
dc.contributor.authorRezapour, Shahram
dc.date.accessioned2024-12-24T19:33:46Z
dc.date.available2024-12-24T19:33:46Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe unstable nonlinear Schrodinger equations (UNLSEs) are universal equations of the class of nonlinear integrable systems, which reveal the temporal changing of disruption in slightly stable and unstable media. In current paper, an improved auxiliary equation technique is proposed to obtain the wave results of UNLSE and modified UNLSE. Numerous varieties of results are generated in the mode of some special Jacobi elliptic functions and trigonometric and hyperbolic functions, many of which are distinctive and have significant applications such as pulse propagation in optical fibers. The exact soliton solutions also give information on the soliton interaction in unstable media. Furthermore, with the assistance of the suitable parameter values, various kinds of structures such as bright-dark, multi-wave structures, breather and kink-type solitons, and several periodic solitary waves are depicted that aid in the understanding of the physical interpretation of unstable nonlinear models. The various constructed solutions demonstrate the effectiveness of the suggested approach, which proves that the current technique may be applied to other nonlinear physical problems encountered in mathematical physics.
dc.description.sponsorshipBasque Government [IT1555-22, KK-2022/00090]; [269.10.13039/501100011033]; [PID2021-1235430B-C21/C22]
dc.description.sponsorshipThe authors are grateful to the Basque Government for its support through Grants IT1555-22 and KK-2022/00090, and to MCIN/AEI 269.10.13039/501100011033 for Grant PID2021-1235430B-C21/C22.
dc.identifier.doi10.3390/sym15010099
dc.identifier.issn2073-8994
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85146743150
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/sym15010099
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8287
dc.identifier.volume15
dc.identifier.wosWOS:000927737400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofSymmetry-Basel
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectunstable nonlinear Schrodinger equations
dc.subjectimproved auxiliary equation method
dc.subjectsolitons
dc.subjectbreather-type waves
dc.subjectJacobi elliptic functions
dc.titleConstruction of Novel Bright-Dark Solitons and Breather Waves of Unstable Nonlinear Schrodinger Equations with Applications
dc.typeArticle

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