Abundant solitary wave solutions to a perturbed Schrödinger equation with Kerr law nonlinearity via a novel approach

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dc.authoridSomayeh Rezaei / 0000-0001-8430-2054
dc.authorscopusidSomayeh Rezaei / 56402854000
dc.authorwosidSomayeh Rezaei / GBH-8556-2022
dc.contributor.authorAldhabani, M.S.
dc.contributor.authorNonlaopon, K.
dc.contributor.authorRezaei, S.
dc.contributor.authorS.Bayones, F.
dc.contributor.authorElagan, S.K.
dc.contributor.authorEl-Marouf, S.A.A.
dc.date.accessioned2022-03-23T05:55:20Z
dc.date.available2022-03-23T05:55:20Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe main purpose of the present paper is to introduce a reliable method, for the first time, in solving differential equations with partial derivatives. The significant idea behind this method is the modification of a well-known method. The main base functions used in the solution's structures are Jacobi elliptic functions which are known functions and have many applications in practice. In order to achieve these results, the perturbed Schrödinger equation with Kerr law nonlinearity is considered. This nonlinear equation illustrates the propagation of optical solitons in nonlinear optical fibers. Thereupon, several analytical solutions corresponding to this model are obtained through employing an improved generalized exponential rational function method. Then we present a new version of it that is presented for the first time in the literature. Using these methods, several wave solutions related to the considered model are obtained. Moreover, several numerical simulations relevant to the resulting solutions are performed in the paper. As a notable features of the proposed method, the obtained solutions are characterized by the Jacobi elliptic functions. These solutions contain an index that for some specific choices is reduced to standard functions such as trigonometric and hyperbolic. The obtained results and solutions can be used for investigating the mechanism of several nonlinear phenomena laboratory and space plasmas. All necessary calculations are performed via symbolic packages of Wolfram Mathematica. © 2022 The Authorsen_US
dc.identifier.citationAldhabani, M. S., Nonlaopon, K., Rezaei, S., S.Bayones, F., Elagan, S. K., & El-Marouf, S. A. A. (2022). Abundant solitary wave solutions to a perturbed schrödinger equation with kerr law nonlinearity via a novel approach. Results in Physics, 35 doi:10.1016/j.rinp.2022.105385en_US
dc.identifier.doi10.1016/j.rinp.2022.105385en_US
dc.identifier.scopus2-s2.0-85126012355en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2022.105385
dc.identifier.urihttps://hdl.handle.net/20.500.12713/2577
dc.identifier.volume35en_US
dc.identifier.wosWOS:000775917800031en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorRezaei, Somayeh
dc.language.isoenen_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofResults in Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAnalytical Methodsen_US
dc.subjectJacobi Elliptic Functionsen_US
dc.subjectSymbolic Structuresen_US
dc.subjectThe Perturbed Schrödinger Equationen_US
dc.titleAbundant solitary wave solutions to a perturbed Schrödinger equation with Kerr law nonlinearity via a novel approachen_US
dc.typeArticleen_US

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