A numerical solution and an exact explicit solution of the NLS equation

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dc.contributor.authorEl-Sayed, SM
dc.contributor.authorKaya, D
dc.date.accessioned2026-08-12T17:44:30Z
dc.date.issued2006
dc.departmentFırat Üniversitesi
dc.description.abstractWe consider traveling wave solutions of the nonlinear Schrodinger (NLS for short) equation. In this paper by considering the decomposition scheme, we first obtain the exact solutions of the NLS equation for the initial condition without using any classical transformations and then its numerical solutions are constructed without using any discretization technique. The numerical solutions are compared with the known analytical solutions. Its remarkable accuracy is finally demonstrated in the study of some initial values of the NLS equation. (c) 2005 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2005.02.055
dc.identifier.endpage1322
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue2
dc.identifier.scopus2-s2.0-31644440712
dc.identifier.scopusqualityQ1
dc.identifier.startpage1315
dc.identifier.urihttps://doi.org/10.1016/j.amc.2005.02.055
dc.identifier.urihttps://hdl.handle.net/11508/60291
dc.identifier.volume172
dc.identifier.wosWOS:000235557400049
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Inc
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectthe decomposition method
dc.subjectnonlinear Schrodinger equation
dc.subjecttraveling wave solutions
dc.subjectnumerical results
dc.titleA numerical solution and an exact explicit solution of the NLS equation
dc.typeArticle

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