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Solitary wave solution for a generalized Hirota-Satsuma coupled KdV and MKdV equations: A semi-analytical approach

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dc.contributor.author Jena, Rajarama Mohan
dc.contributor.author Chakraverty, Snehashish
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-01-04T08:29:31Z
dc.date.available 2023-01-04T08:29:31Z
dc.date.issued 2020-10
dc.identifier.citation Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru (2020). "Solitary wave solution for a generalized Hirota-Satsuma coupled KdV and MKdV equations: A semi-analytical approach", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 2877-2889. tr_TR
dc.identifier.issn 1110-0168
dc.identifier.uri http://hdl.handle.net/20.500.12416/6025
dc.description.abstract Nonlinear fractional differential equations (NFDEs) offer an effective model of numerous phenomena in applied sciences such as ocean engineering, fluid mechanics, quantum mechanics, plasma physics, nonlinear optics. Some studies in control theory, biology, economy, and electrodynamics, etc. demonstrate that NFDEs play the primary role in explaining various phenomena arising in real-life. Now-a-day NFDEs in various scientific fields in particular optical fibers, chemical physics, solid-state physics, and so forth have the most important subjects for study. Finding exact responses to these equations will help us to a better understanding of our environmental nonlinear physical phenomena. In this regard, in the present study, we have applied fractional reduced differential transform method (FRDTM) to obtain the solution of nonlinear time-fractional Hirota-Satsuma coupled KdV and MKdV equations. The novelty of the FRDTM is that it does not require any discretization, transformation, perturbation, or any restrictive conditions. Moreover, this method requires less computation compared to other methods. Computed results are compared with the existing results for the special cases of integer order. The present results are in good agreement with the existing solutions. Here, the fractional derivatives are considered in the Caputo sense. The presented method is a semi-analytical method based on the generalized Taylor series expansion and yields an analytical solution in the form of a polynomial. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2020.01.002 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Coupled MKdV Equation tr_TR
dc.subject FRDTM tr_TR
dc.subject Hirota-Satsuma Coupled KdV System tr_TR
dc.subject Nonlinear Equation tr_TR
dc.subject Solitons Solution tr_TR
dc.title Solitary wave solution for a generalized Hirota-Satsuma coupled KdV and MKdV equations: A semi-analytical approach tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 59 tr_TR
dc.identifier.issue 5 tr_TR
dc.identifier.startpage 2877 tr_TR
dc.identifier.endpage 2889 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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