A Comparative Study of Time Fractional Nonlinear Drinfeld-Sokolov-Wilson System via Modified Auxiliary Equation Method

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dc.authoridAkram, Ghazala/0000-0003-0288-9299
dc.authoridAbbas, Dr. Muhammad/0000-0002-0491-1528
dc.authoridSadaf, Maasoomah/0000-0002-1689-0824
dc.contributor.authorAkram, Ghazala
dc.contributor.authorSadaf, Maasoomah
dc.contributor.authorZainab, Iqra
dc.contributor.authorAbbas, Muhammad
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:33:36Z
dc.date.available2024-12-24T19:33:36Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe time-fractional nonlinear Drinfeld-Sokolov-Wilson system, which has significance in the study of traveling waves, shallow water waves, water dispersion, and fluid mechanics, is examined in the presented work. Analytic exact solutions of the system are produced using the modified auxiliary equation method. The fractional implications on the model are examined under b-fractional derivative and a new fractional local derivative. Extracted solutions include rational, trigonometric, and hyperbolic functions with dark, periodic, and kink solitons. Additionally, by specifying values for fractional parameters, graphs are utilized to comprehend the fractional effects on the obtained solutions.
dc.description.sponsorshipThe authors are also grateful to the anonymous referees for their valuable suggestions, which significantly improved this manuscript.
dc.description.sponsorshipThe authors are also grateful to the anonymous referees for their valuable suggestions, which significantly improved this manuscript.
dc.identifier.doi10.3390/fractalfract7090665
dc.identifier.issn2504-3110
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85172180645
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/fractalfract7090665
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8216
dc.identifier.volume7
dc.identifier.wosWOS:001073863400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofFractal and Fractional
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjecttime fractional nonlinear Drinfeld-Sokolov-Wilson system
dc.subjectbeta-fractional derivative
dc.subjecta new local fractional derivative
dc.subjectmodified auxiliary equation method
dc.titleA Comparative Study of Time Fractional Nonlinear Drinfeld-Sokolov-Wilson System via Modified Auxiliary Equation Method
dc.typeArticle

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