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

dc.contributor.authorTala-Tebue, Eric
dc.contributor.authorRezazadeh, Hadi
dc.contributor.authorJaveed, Shumaila
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorKorkmaz, Alper
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-10-24T07:55:02Z
dc.date.available2024-10-24T07:55:02Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractOur 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.en_US
dc.description.publishedMonth9
dc.identifier.citationTala-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.en_US
dc.identifier.doi10.1007/s12346-023-00801-3
dc.identifier.issn1575-5460
dc.identifier.issue3en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8520
dc.identifier.volume22en_US
dc.language.isoenen_US
dc.relation.ispartofQualitative Theory of Dynamical Systemsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectChiral Nonlinear Schrodinger Equationsen_US
dc.subjectCnoidal Solutionsen_US
dc.subjectJacobi Elliptical Function Methoden_US
dc.subjectModulation Instabilityen_US
dc.titleSolitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations with the Jacobi Elliptical Function Methodtr_TR
dc.titleSolitons of the (1 + 1) - and (2 + 1) -Dimensional Chiral Nonlinear Schrodinger Equations With the Jacobi Elliptical Function Methoden_US
dc.typeArticleen_US
dspace.entity.typePublication

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