Structures of exact solutions for the modified nonlinear Schrodinger equation in the sense of conformable fractional derivative

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dc.authorid0000-0002-1364-5137en_US
dc.authorid0000-0003-3686-9122en_US
dc.contributor.authorÖzkan, Yeşim Sağlam
dc.contributor.authorYılmaz, Esra Ünal
dc.date.accessioned2023-08-17T07:29:45Z
dc.date.available2023-08-17T07:29:45Z
dc.date.issued2023en_US
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis paper is devoted to discuss analytically the conformable time-fractional modified nonlinear Schrodinger equation with the aid of efficient methods. The suggested model is a model used in ocean engineering to explain the propagation of water waves. At this stage, while using the proposed methods, the first step is to reduce the model defined by the conformable fractional derivative to the ordinary differential equation system with an appropriate transformation. We have obtained a variety of new families of exact traveling wave solutions including trigonometric, hyperbolic and exponential types. In related subject, the Adomian decomposition method is implemented to approximate the one of the solution of the underlying equation. For dynamic properties of the obtained solutions, we have depicted them graphically using computer programming to explain more efficiently the behavior of different shapes of solutions for the different values of free parameters with constraint conditions. Finally, a comparison is given for the solutions obtained in this study.en_US
dc.identifier.citationSağlam Özkan, Y., & Ünal Yılmaz, E. (2023). Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative. Mathematical Sciences, 17(2), 203-218.en_US
dc.identifier.doi10.1007/s40096-021-00453-x
dc.identifier.endpage218en_US
dc.identifier.issn2008-1359
dc.identifier.issn2251-7456
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85122700008en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage203en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s40096-021-00453-x
dc.identifier.urihttps://hdl.handle.net/20.500.12491/11556
dc.identifier.volume17en_US
dc.identifier.wosWOS:000740614000001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorYılmaz, Esra Ünal
dc.language.isoenen_US
dc.publisherSpringer Heidelbergen_US
dc.relation.ispartofMathematical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectModified Nonlinear Schrodinger Equationen_US
dc.subjectConformable Fractional Derivativeen_US
dc.subjectExact Solutionsen_US
dc.subject1st Integral Methoden_US
dc.subjectWave Solutionsen_US
dc.subjectSystemen_US
dc.titleStructures of exact solutions for the modified nonlinear Schrodinger equation in the sense of conformable fractional derivativeen_US
dc.typeArticleen_US

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