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Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Sixth-Order Nonlinear Ramani Equation

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dc.contributor.author Aliyu, Aliyu Isa
dc.contributor.author İnç, Mustafa
dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2019-12-20T12:36:45Z
dc.date.available 2019-12-20T12:36:45Z
dc.date.issued 2018-08
dc.identifier.citation Aliyu, Aliyu Isa; Inc, Mustafa; Yusuf, Abdullahi; et al. (2018). Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Sixth-Order Nonlinear Ramani Equation, Symmetry-Basel, 10(8). tr_TR
dc.identifier.issn 2073-8994
dc.identifier.uri http://hdl.handle.net/20.500.12416/2227
dc.description.abstract In this work, we study the completely integrable sixth-order nonlinear Ramani equation. By applying the Lie symmetry analysis technique, the Lie point symmetries and the optimal system of one-dimensional sub-algebras of the equation are derived. The optimal system is further used to derive the symmetry reductions and exact solutions. In conjunction with the Riccati Bernoulli sub-ODE (RBSO), we construct the travelling wave solutions of the equation by solving the ordinary differential equations (ODEs) obtained from the symmetry reduction. We show that the equation is nonlinearly self-adjoint and construct the conservation laws (CL) associated with the Lie symmetries by invoking the conservation theorem due to Ibragimov. Some figures are shown to show the physical interpretations of the acquired results. tr_TR
dc.language.iso eng tr_TR
dc.publisher MDPI tr_TR
dc.relation.isversionof 10.3390/sym10080341 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Lie Symmetry Analysis tr_TR
dc.subject Conservation Laws tr_TR
dc.subject Traveling Wave Solutions tr_TR
dc.title Symmetry Analysis, Explicit Solutions, and Conservation Laws of a Sixth-Order Nonlinear Ramani Equation tr_TR
dc.type article tr_TR
dc.relation.journal Symmetry-Basel tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 10 tr_TR
dc.identifier.issue 8 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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