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Optical solitons, nonlinear self-adjointness and conservation laws for the cubic nonlinear Shrodinger's equation with repulsive delta potential

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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 2020-03-03T11:04:41Z
dc.date.available 2020-03-03T11:04:41Z
dc.date.issued 2017-11
dc.identifier.citation Baleanu, Dumitru...et al. (2017). "Optical solitons, nonlinear self-adjointness and conservation laws for the cubic nonlinear Shrodinger's equation with repulsive delta potential", Superlattices And Microstructures, Vol.111, pp.546-555. tr_TR
dc.identifier.issn 0749-6036
dc.identifier.uri http://hdl.handle.net/20.500.12416/2583
dc.description.abstract In this paper, the complex envelope function ansatz method is used to acquire the optical solitons to the cubic nonlinear Shrodinger's equation with repulsive delta potential (delta-NLSE). The method reveals dark and bright optical solitons. The necessary constraint conditions which guarantee the existence of the solitons are also presented. We studied the delta-NLSE by analyzing a system of partial differential equations (PDEs) obtained by decomposing the equation into real and imaginary components. We derive the Lie point symmetry generators of the system and 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 establish a set of conserved vectors for the system using the general Cls theorem presented by Ibragimov. Some interesting figures for the acquired solutions are also presented. tr_TR
dc.language.iso eng tr_TR
dc.publisher Academic Press LTD- Elsevier Science LTD tr_TR
dc.relation.isversionof 10.1016/j.spmi.2017.07.010 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Complex Envelope Function Ansatz tr_TR
dc.subject Soliton tr_TR
dc.subject Cls tr_TR
dc.subject Delta-NLSE tr_TR
dc.title Optical solitons, nonlinear self-adjointness and conservation laws for the cubic nonlinear Shrodinger's equation with repulsive delta potential tr_TR
dc.type article tr_TR
dc.relation.journal Superlattices And Microstructures tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 111 tr_TR
dc.identifier.startpage 546 tr_TR
dc.identifier.endpage 555 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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