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Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method

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dc.contributor.author Tala-Tebue, Eric
dc.contributor.author Rezazadeh, Hadi
dc.contributor.author Javeed, Shumaila
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Korkmaz, Alper
dc.date.accessioned 2024-01-24T11:59:15Z
dc.date.available 2024-01-24T11:59:15Z
dc.date.issued 2023-09
dc.identifier.citation Tala-Tebue, Eric;...et.al. (2023). "Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method", Qualitative Theory of Dynamical Systems, Vol.22, No.3. tr_TR
dc.identifier.issn 15755460
dc.identifier.uri http://hdl.handle.net/20.500.12416/6980
dc.description.abstract Our objective is to find new analytical solutions of the (1 + 1) - and (2 + 1) -dimensional Chiral nonlinear Schrodinger (CNLS) equations using the Jacobi elliptical function method. The CNLS equations play a significant role in the development of quantum mechanics, particularly in the field of quantum Hall effect. Soliton solutions of the considered models are obtained such as, cnoidal solutions, the hyperbolic solutions and the trigonometric solutions. The obtained analytical solutions are new in the literature. The stability conditions of these solutions are also given. The obtained stable solutions are presented graphically for some specific parameters. Moreover, the conditions of modulational instability for both models are provided. The proposed method can be useful to obtain the analytical solutions of nonlinear partial differential equations. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1007/s12346-023-00801-3 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Chiral Nonlinear Schrodinger Equations tr_TR
dc.subject Cnoidal Solutions tr_TR
dc.subject Jacobi Elliptical Function Method tr_TR
dc.subject Modulation Instability tr_TR
dc.title Solitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Method tr_TR
dc.type article tr_TR
dc.relation.journal Qualitative Theory of Dynamical Systems tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 22 tr_TR
dc.identifier.issue 3 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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