Fractional generalized perturbed KdV equation with a power Law kernel: A computational study

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dc.authoridUllah, Aman/0000-0003-4021-3599
dc.contributor.authorShehzada, Khan
dc.contributor.authorUllah, Aman
dc.contributor.authorSaifullah, Sayed
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:27:35Z
dc.date.available2024-12-24T19:27:35Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this study, we analyze the nonlinear generalized perturbed KdV equation using the Shehu transform and decomposition approach to obtain solutions. Multiple cases with appropriate initial conditions demonstrate the procedure's effectiveness and validity, with excellent agreements noted. Simulations reveal three distinct solutions: one bright-soliton, two wave solutions, and dark -bright soliton solutions. Fractional order significantly impacts wave amplitudes and nonlinearity characteristics, affecting system excitations. These findings offer insights into complex behaviors, with potential applications in fluid dynamics, nonlinear optics, and plasma physics, guiding experimental design and system analysis.
dc.identifier.doi10.1016/j.rico.2023.100298
dc.identifier.issn2666-7207
dc.identifier.scopus2-s2.0-85171186727
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1016/j.rico.2023.100298
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6714
dc.identifier.volume12
dc.identifier.wosWOS:001209054000004
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Control and Optimization
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectPerturbed kdV
dc.subjectShehu transform
dc.subjectDark-bright soliton
dc.titleFractional generalized perturbed KdV equation with a power Law kernel: A computational study
dc.typeArticle

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