Comparative analysis of numerical with optical soliton solutions of stochastic Gross-Pitaevskii equation in dispersive media

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dc.authoridIqbal, Muhammad Sajid/0000-0001-6929-8093
dc.authoridRafiq, Muhammad/0000-0002-2165-3479
dc.contributor.authorBaber, Muhammad Zafarullah
dc.contributor.authorAhmed, Nauman
dc.contributor.authorYasin, Muhammad Waqas
dc.contributor.authorIqbal, Muhammad Sajid
dc.contributor.authorAkgul, Ali
dc.contributor.authorRiaz, Muhammad Bilal
dc.contributor.authorRafiq, Muhammad
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article deals with the stochastic Gross-Pitaevskii equation (SGPE) perturbed with multiplicative time noise. The numerical solutions of the governing model are carried out with the proposed stochastic non-standard finite difference (SNSFD) scheme. The stability of the scheme is proved by using the Von-Neumann criteria and the consistency is shown in the mean square sense. To seek exact solutions, we applied the Sardar subequation (SSE) and modified exponential rational functional (MERF) techniques. The exact solutions are constructed in the form of exponential, hyperbolic, and trigonometric forms. Finally, the comparison of the exact solutions with numerical solutions is drawn in the 3D and line plots for the different values of parameters.
dc.identifier.doi10.1016/j.rinp.2022.106175
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85144563635
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2022.106175
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6737
dc.identifier.volume44
dc.identifier.wosWOS:000912214900001
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.subjectProposed SNSFD scheme
dc.subjectStability analysis of scheme
dc.subjectConsistency of scheme
dc.subjectExact solutions
dc.subjectStochastic Gross-Pitaevskii equation (SGPE)
dc.subjectSSE technique
dc.subjectMERF technique
dc.titleComparative analysis of numerical with optical soliton solutions of stochastic Gross-Pitaevskii equation in dispersive media
dc.typeArticle

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