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Optical Solitons, Conservation Laws and Modulation Instability Analysis for The Modified Nonlinear Schrodinger's Equation For Davydov Solitons

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dc.contributor.author İnç, Mustafa
dc.contributor.author Aliyu, Aliyu Isa
dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-04-02T19:42:02Z
dc.date.available 2020-04-02T19:42:02Z
dc.date.issued 2018
dc.identifier.issn 0920-5071
dc.identifier.uri http://hdl.handle.net/20.500.12416/2851
dc.description.abstract In this paper, the optical solitons to the modified nonlinear Schrodinger's equation for davydov solitons are investigate. The modified F-expansion method is the integration technique employed to achieve this task. This yielded a combined and other soliton solutions. The Lie point symmetry generators of a system of partial differential equations acquired by decomposing the equation into real and imaginary components are derived. We prove that the system is nonlinearly self-adjoint with an explicit form of a differential substitution satisfying the nonlinear self-adjoint condition. Then we use these facts to construct a set of local conservation laws (Cls) for the system using the general Cls theorem presented by Ibragimov. Furthermore, the modulation instability (MI) is analyzed based on the standard linear-stability analysis and the MI gain spectrum is got. 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 10.1080/09205071.2017.1408499 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Solitons tr_TR
dc.subject Modulation Instability tr_TR
dc.subject Cls tr_TR
dc.title Optical Solitons, Conservation Laws and Modulation Instability Analysis for The Modified Nonlinear Schrodinger's Equation For Davydov Solitons tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Electromagnetic Waves and Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 32 tr_TR
dc.identifier.issue 7 tr_TR
dc.identifier.startpage 858 tr_TR
dc.identifier.endpage 873 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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