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The investigation of soliton solutions and conservation laws to the coupled generalized Schrodinger-Boussinesq system

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author İnç, Mustafa
dc.contributor.author Aliyu, Aliyu Isa
dc.contributor.author Yusuf, Abdullahi
dc.date.accessioned 2020-02-28T12:18:08Z
dc.date.available 2020-02-28T12:18:08Z
dc.date.issued 2019-01-02
dc.identifier.citation Baleanu, Dumitru...et al. (2019). "The investigation of soliton solutions and conservation laws to the coupled generalized Schrodinger-Boussinesq system", Waves in Random and Complex Media, Vol. 29, No. 1, pp. 77-92,. tr_TR
dc.identifier.issn 1745-5030
dc.identifier.uri http://hdl.handle.net/20.500.12416/2559
dc.description.abstract This paper employed the principle of undetermined coefficients and Bernoulli sub-ODE methods to acquire the topological, non-topological, periodic wave and algebraic solutions of the coupled generalized Schrodinger-Boussinesq system (CGSBs). The concept of Lie point symmetry is applied to derive the point symmetries of the CSGE. The problem on nonlinear self-adjointness of the CSGE has not been solved in previous time. In the present paper, we solve this problem and find an explicit form of the differential substitution providing the nonlinear self-adjointness. Then we use this fact to construct a set of conserved vectors using the classical symmetries admitted by the equation and the general conservation laws (Cls) theorem presented by Ibragimov. Numerical simulation of the obtained results are analyzed with interesting figures showing the physical meaning of the solutions. tr_TR
dc.language.iso eng tr_TR
dc.publisher Taylor&Francis LTD tr_TR
dc.relation.isversionof 10.1080/17455030.2017.1412539 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Nonlinear Self-Adjointness tr_TR
dc.subject Traveling-Wave Solutions tr_TR
dc.subject Backlund Transformation tr_TR
dc.subject Optical Solitons tr_TR
dc.subject Equation tr_TR
dc.title The investigation of soliton solutions and conservation laws to the coupled generalized Schrodinger-Boussinesq system tr_TR
dc.type article tr_TR
dc.relation.journal Waves in Random and Complex Media tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 29 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 77 tr_TR
dc.identifier.endpage 92 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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