The extended Fan's sub-equation method and its application to nonlinear Schrodinger equation with saturable nonlinearity

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dc.authorid, Dr. Romana Ashraf/0009-0006-2814-5318
dc.contributor.authorAshraf, Romana
dc.contributor.authorHussain, Shabbir
dc.contributor.authorAshraf, Farrah
dc.contributor.authorAkgul, Ali
dc.contributor.authorEl Din, Sayed M.
dc.date.accessioned2024-12-24T19:27:43Z
dc.date.available2024-12-24T19:27:43Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article discusses the saturable nonlinear Schrodinger equation, which is a key equation in the study of condensed matter physics, plasma physics, and nonlinear optics. This equation, which represents how electromagnetic waves behave in nonlinear media, is distinct because of its nonlinearity and dispersive properties. In this article, the extended Fan's sub equation method is used to construct novel solitary wave solutions of the saturable nonlinear Schrodinger equation. This method is a powerful tool for dealing with nonlinear partial differential equations and has been used to a wide range of problems in several branches of mathematics. According to the this method, the saturable nonlinear Schrodinger equation admits a wide range of exact solution families that rely on five parameters. These solutions include soliton-like solutions, which are localized waves that maintain their shape and speed over long distances, and triangular-type solutions, which have a triangular shape. The study also identifies single and combined non-degenerate Jacobi elliptic function like solutions. These solutions are a particular class of periodic function that appears in several branches of physics, including electromagnetism, quantum mechanics, and fluid dynamics. The obtained solutions are graphically represented by 3D, contour, and 2D graphs using MATLAB. The results of this article present novel perspectives on the saturable nonlinear Schrodinger equation and its possible applications in a different fields. These findings have important implications for nonlinear optics, the development of new optical devices, nonlinear optics, and related fields.
dc.identifier.doi10.1016/j.rinp.2023.106755
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85166355817
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.106755
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6752
dc.identifier.volume52
dc.identifier.wosWOS:001055034600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSaturable nonlinear Schrodinger equation
dc.subjectExtended Fan's sub-equation method
dc.subjectSolitary wave solutions
dc.subjectSoliton-like solutions
dc.subjectTriangular-type solutions
dc.subjectSingle and combination non-degenerate Jacobi
dc.subjectelliptic function-like solutions
dc.titleThe extended Fan's sub-equation method and its application to nonlinear Schrodinger equation with saturable nonlinearity
dc.typeArticle

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