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Some new exact solutions for a generalized variable coeffi- cients KdV equation

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dc.contributor.author Rajagopalan, R.
dc.contributor.author Kader, Abass H. Abdel
dc.contributor.author Latif, Mohamed S. Abdel
dc.contributor.author Baleanu, Dumitru
dc.contributor.author El Sonbaty, Amr
dc.date.accessioned 2024-01-26T07:52:56Z
dc.date.available 2024-01-26T07:52:56Z
dc.date.issued 2023
dc.identifier.citation Rajagopalan, R.;...et.al. (2023). "Some new exact solutions for a generalized variable coeffi- cients KdV equation", Journal of Mathematics and Computer Science, Vol.29, No.1, pp.1-11. tr_TR
dc.identifier.issn 2008-949X
dc.identifier.uri http://hdl.handle.net/20.500.12416/6991
dc.description.abstract In this paper, the variable coefficients KdV equation with general power nonlinearities is proposed. Firstly, it is transformed into a generalized KdV equation with constant coefficients using a point transformation. Then, the traveling wave transformation is utilized to transform the obtained constant coefficients generalized KdV equation into a generalized ordinary differential equation. We give a classification for the obtained generalized ordinary differential equation using a suitable integrating factor. Some new solutions are obtained for the generalized KdV equation with constant coefficients. All the obtained solutions in this paper for the variable coefficients KdV equation with general power nonlinearities are new. tr_TR
dc.relation.isversionof 10.22436/jmcs.029.01.01 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Exact Solutions tr_TR
dc.subject Generalized KdV Equation tr_TR
dc.subject Traveling Wave tr_TR
dc.subject Solitons tr_TR
dc.title Some new exact solutions for a generalized variable coeffi- cients KdV equation tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Mathematics and Computer Science tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 29 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 1 tr_TR
dc.identifier.endpage 11 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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