Reliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise

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dc.contributor.authorMuhammad Zafarullah Baber
dc.contributor.authorNauman Ahmed
dc.contributor.authorMuhammad Waqas Yasin
dc.contributor.authorMuhammad Sajid Iqbal
dc.contributor.authorAli Akgül
dc.contributor.authorMurad Khan Hassani
dc.contributor.authorMuhammad Jawaz
dc.date.accessioned2025-04-15T11:23:19Z
dc.date.available2025-04-15T11:23:19Z
dc.date.issued2025-03-28
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractIn this study, we consider the coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise. The coupled nonlinear Schrödinger equation, which shows the complex envelope amplitudes of the two modulated weakly resonant waves in two polarisations and is used to describe the pulse propagation in high birefringence fibre, has several uses in optical fibres.query:Journal instruction requires a city for affiliations; however, these are missing in affiliation [6]. Please verify if the provided city are correct and amend if necessary. The underlying model is analyzed numerically and analytically as well. For the computational results, the proposed stochastic backward Euler scheme is developed and its consistency is derived in the mean square sense. For the linear stability analysis, Von-Neumann criteria is used, given proposed stochastic scheme is unconditionally stable. The exact optical soliton solutions are constructed with the help of the [Formula: see text]-model expansion technique, which provided us with the Jacobi elliptic function solutions that will explore optical solitons and solitary waves as well. The initial and boundary conditions are constructed for the numerical result by some optical soliton solutions. The 3D, 2D and corresponding contour plot are drawn for the different values of noise. Mainly, the comparison of results is shown graphically in 3D and line plots for some newly constructed solutions by selecting suitable parameters value.
dc.identifier.citationBaber, M. Z., Ahmed, N., Yasin, M. W., Iqbal, M. S., Akgül, A., Hassani, M. K., & Jawaz, M. (2025). Reliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise. Scientific Reports, 15(1), 10707.
dc.identifier.doi10.1038/s41598-024-78912-3
dc.identifier.issn2045-2322
dc.identifier.issue1
dc.identifier.pmid40155435
dc.identifier.scopus2-s2.0-105001494173
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1038/s41598-024-78912-3
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8598
dc.identifier.volume15
dc.identifier.wos001456038700023
dc.identifier.wosqualityQ1
dc.indekslendigikaynakPubMed
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofScientific Reports
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject[Formula: see text]-model expansion
dc.subjectComparison of results
dc.subjectExact solutions
dc.subjectProposed stochastic backward Euler scheme
dc.subjectStochastic coupled NLSE.
dc.titleReliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise
dc.typejournal-article
oaire.citation.issue1
oaire.citation.volume15

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