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A Novel Technique to Construct Exact Solutions for Nonlinear Partial Differential Equations

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dc.contributor.author Ghanbari, Behzad
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-01T04:48:53Z
dc.date.available 2020-05-01T04:48:53Z
dc.date.issued 2019-10-01
dc.identifier.citation Ghanbari, B.; Baleanu, D.,"A Novel Technique to Construct Exact Solutions for Nonlinear Partial Differential Equations", European Physical Journal Plus, Vol. 134, No. 10, (2019). tr_TR
dc.identifier.issn 21905444
dc.identifier.uri http://hdl.handle.net/20.500.12416/3580
dc.description.abstract The aim of the manuscript is to present a new exact solver of nonlinear partial differential equations. The proposed technique is developed by extending the ϕ6-model expansion method as a known method. The corresponding exact solutions are given in terms of Jacobi elliptic functions. Some new optical solutions of the resonant nonlinear Schrödinger equation are constructed within this newly proposed method. For some specific choices of the modulus of Jacobi elliptic functions, various solutions of the equation are introduced. Some numerical simulations are also included to emphasize that all parameters have major influences for the solitary waves behaviours. The proposed technique is very simple and straightforward, and can be employed to solve other non-linear partial differential equations. © 2019, Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer Verlag tr_TR
dc.relation.isversionof 10.1140/epjp/i2019-13037-9 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Solitons tr_TR
dc.subject Solitary Waves tr_TR
dc.subject Auxiliary Equation tr_TR
dc.title A Novel Technique to Construct Exact Solutions for Nonlinear Partial Differential Equations tr_TR
dc.type article tr_TR
dc.relation.journal European Physical Journal Plus tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 134 tr_TR
dc.identifier.issue 10 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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