On numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method

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dc.contributor.authorİnç, Mustafa
dc.date.accessioned2026-08-12T17:44:29Z
dc.date.issued2006
dc.departmentFırat Üniversitesi
dc.description.abstractIn this paper, we use the Adomian decomposition method (ADM) for obtaining soliton solution of the Kaup-Kupershmidt (KK) equation. We prove the convergence of this method applied to the nonlinear Kaup-Kupershmidt equation. The solution is found as an infinite series quickly converging to accurate solutions. The results of numerical examples are presented and only few terms are required to obtain accurate solutions. Most of the symbolic and numerical computations have been performed using the Computer Algebra System-Mathematica. (c) 2005 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2005.01.120
dc.identifier.endpage85
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue1
dc.identifier.scopus2-s2.0-31144467784
dc.identifier.scopusqualityQ1
dc.identifier.startpage72
dc.identifier.urihttps://doi.org/10.1016/j.amc.2005.01.120
dc.identifier.urihttps://hdl.handle.net/11508/60279
dc.identifier.volume172
dc.identifier.wosWOS:000235511200006
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.subjectADM
dc.subjectadomian polynomials
dc.subjectthe Kaup-Kupershmidt equation
dc.subjectthe Sawada-Kotera equation
dc.subjectsoliton
dc.titleOn numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method
dc.typeArticle

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