Analytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm

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dc.contributor.authorJhangeer, Adil
dc.contributor.authorFaridi, Waqas Ali
dc.contributor.authorAsjad, Muhammad Imran
dc.contributor.authorAkgül, Ali
dc.date.accessioned2024-12-24T19:10:21Z
dc.date.available2024-12-24T19:10:21Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractThis paper aims to study an improved perturbed Schrödinger equation (IPSE) with a kind of Kerr law non-linearity equation governing the propagation dynamics of soliton in optical fibers through the nano-optical fiber. The considered model predicts the influence of quantic non-linearity on the motion of ultrashort optical pulses. The integrability of the model is accompanied by the transformed rational function V-expansion method (for simplicity [Formula presented]). This proposed method is a significant mathematical tool to obtain the exact travelings wave solutions of non-linear complex partial differential equations (PDEs). A bunch of soliton solutions like dark, dark singular, plane wave solution, and periodic are retrieved along with suitable parametric values. The graphical analysis is also presented for the description of propagation of waves expressed by rational functions, hyperbolic functions, and trigonometric functions. © 2021 The Author(s)
dc.identifier.doi10.1016/j.padiff.2021.100102
dc.identifier.issn2666-8181
dc.identifier.scopus2-s2.0-85125527863
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org10.1016/j.padiff.2021.100102
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4070
dc.identifier.volume4
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier B.V.
dc.relation.ispartofPartial Differential Equations in Applied Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectIPSE
dc.subjectSolitons
dc.subjectV-expansion method
dc.titleAnalytical study of soliton solutions for an improved perturbed Schrödinger equation with Kerr law non-linearity in non-linear optics by an expansion algorithm
dc.typeArticle

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