Abundant new analytical and approximate solutions to the generalized Schamel equation

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dc.contributor.authorGhanbari, Behzad
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:28:28Z
dc.date.available2024-12-24T19:28:28Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractAn exact solution of partial differential equations provides a lot of information for a model. Since obtaining such answers is generally very difficult or in some cases impossible, having powerful analytical methods in determining them seems very necessary. Unlike numerical methods, these methods have fewer constraints such as stability, convergence, and approximation error. This paper aims to consider the generalized Schamel equation which arises in the modeling of some problems in plasma physics. Fortunately, by applying a new analytical method, a large number of exact solutions to the model are obtained. The structure used in the solutions specified in this method uses Jacobi elliptic functions. In another part of the paper, an effective numerical method, namely the reproducing kernel method is used to approximate the solutions of the equation. Numerical simulations of some acquired exact and approximate solutions are also included. It seems that the employed methods can be considered as effective, powerful, and straightforward methods of studying equations. The methods can also be utilized to investigate other partial differential equations.
dc.identifier.doi10.1088/1402-4896/ab8b27
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85085564102
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1088/1402-4896/ab8b27
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7071
dc.identifier.volume95
dc.identifier.wosWOS:000536265300001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofPhysica Scripta
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectexact optical solutions
dc.subjectjacobi elliptic solutions
dc.subjectthe generalized schamel equation
dc.subjectthe reproducing kernel method
dc.subjectnumerical simulations
dc.titleAbundant new analytical and approximate solutions to the generalized Schamel equation
dc.typeArticle

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