On a generalized fifth order KdV equations

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dc.contributor.authorKaya, D
dc.contributor.authorEl-Sayed, SM
dc.date.accessioned2026-08-12T17:26:20Z
dc.date.issued2003
dc.departmentFırat Üniversitesi
dc.description.abstractIn this Letter, we dealt with finding the solutions of a generalized fifth order KdV equation (for short, gfKdV) by using the Adomian decomposition method (for short, ADM). We prove the convergence of ADM applied to the gfKdV equation. Then we obtain the exact solitary-wave solutions and numerical solutions of the gfKdV equation for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the gfKdV equation. (C) 2003 Elsevier Science B.V All rights reserved.
dc.identifier.doi10.1016/S0375-9601(03)00215-9
dc.identifier.endpage51
dc.identifier.issn0375-9601
dc.identifier.issue1
dc.identifier.scopus2-s2.0-0037424857
dc.identifier.scopusqualityQ2
dc.identifier.startpage44
dc.identifier.urihttps://doi.org/10.1016/S0375-9601(03)00215-9
dc.identifier.urihttps://hdl.handle.net/11508/54768
dc.identifier.volume310
dc.identifier.wosWOS:000182088400008
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Bv
dc.relation.ispartofPhysics Letters A
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectAdomian decomposition method
dc.subjectSawada-Kotera equation
dc.subjectLax's fifth order KdV equation
dc.subjectsolitary-wave solution
dc.subjectconvergence of Adomian decomposition method
dc.titleOn a generalized fifth order KdV equations
dc.typeArticle

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