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CHAOTIC AND SOLITONIC SOLUTIONS FOR A NEW TIME-FRACTIONAL TWO-MODE KORTEWEG-DE VRIES EQUATION

dc.contributor.authorAlquran, Marwan
dc.contributor.authorJaradat, Imad
dc.contributor.authorMomani, Shaher
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-02-08T12:48:55Z
dc.date.available2021-02-08T12:48:55Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe two-mode Korteweg-de Vries (TMKdV) equation is a nonlinear dispersive wave model that describes the motion of two different directional wave modes with the same dispersion relations but with various phase velocities, nonlinearity, and dispersion parameters. In this work, we study the dynamics of the model analytically in a time-fractional sense to ensure the stability of the extracted waves of the TMKdV equation. We use the fractional power series technique to conduct our analysis. We show that there is a homotopy mapping of the solution as the Caputo time-fractional derivative order varies over (0,1] and that both waves have the same physical shapes but with reflexive relation.en_US
dc.identifier.citationAlquran, Marwan...et al. (2020). "CHAOTIC AND SOLITONIC SOLUTIONS FOR A NEW TIME-FRACTIONAL TWO-MODE KORTEWEG-DE VRIES EQUATION", Romanian Reports in Physics, Vol. 72, No. 3.en_US
dc.identifier.issn1221-1451
dc.identifier.issn1841-8759
dc.identifier.issue3en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4554
dc.identifier.volume72en_US
dc.language.isoenen_US
dc.relation.ispartofRomanian Reports in Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCaputo Time-Fractional Derivativeen_US
dc.subjectTwo-Mode Korteweg-De Vries Equationen_US
dc.subjectFractional Power Seriesen_US
dc.titleCHAOTIC AND SOLITONIC SOLUTIONS FOR A NEW TIME-FRACTIONAL TWO-MODE KORTEWEG-DE VRIES EQUATIONtr_TR
dc.titleChaotic and Solitonic Solutions for a New Time-Fractional Two-Mode Korteweg-De Vries Equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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