An application of the decomposition method for the generalized KdV and RLW equations

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dc.contributor.authorKaya, D
dc.contributor.authorEl-Sayed, SM
dc.date.accessioned2026-08-12T17:41:35Z
dc.date.issued2003
dc.departmentFırat Üniversitesi
dc.description.abstractWe consider solitary-wave solutions of the generalized regularized long-wave (RLW) and Korteweg-de Vries (KdV) equations. We prove the convergence of Adomian decomposition method applied to the generalized RLW and KdV equations. Then we obtain the exact solitary-wave solutions and numerical solutions of the generalized RLW and KdV equations for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the generalized RLW and KdV equations. (C) 2003 Elsevier Science Ltd. All rights reserved.
dc.identifier.doi10.1016/S0960-0779(02)00569-6
dc.identifier.endpage877
dc.identifier.issn0960-0779
dc.identifier.issue5
dc.identifier.scopus2-s2.0-0037411749
dc.identifier.scopusqualityQ1
dc.identifier.startpage869
dc.identifier.urihttps://doi.org/10.1016/S0960-0779(02)00569-6
dc.identifier.urihttps://hdl.handle.net/11508/59395
dc.identifier.volume17
dc.identifier.wosWOS:000182637400008
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.ispartofChaos Solitons & Fractals
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectSoliton-Solutions
dc.subjectAdomian Method
dc.subjectModel
dc.subjectWaves
dc.titleAn application of the decomposition method for the generalized KdV and RLW equations
dc.typeArticle

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