A numerical application of the decomposition method for the combined KdV-MKdV equation

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dc.contributor.authorKaya, D
dc.contributor.authorInan, IE
dc.date.accessioned2026-08-12T17:43:40Z
dc.date.issued2005
dc.departmentFırat Üniversitesi
dc.description.abstractWe consider solitary-wave solutions of the combined Korteweg de Vries-Modified Korteweg de Vries (KdV-MKdV) equation. We prove the convergence of Adomian decomposition method (ADM) applied to the combined KdV-MKdV equation. Then we obtain the exact solitary-wave solutions and numerical solutions of the combined KdV-MKdV equation for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the combined KdV-MKdV equation. (c) 2004 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2004.09.033
dc.identifier.endpage926
dc.identifier.issn0096-3003
dc.identifier.issue2
dc.identifier.scopus2-s2.0-26044453236
dc.identifier.scopusqualityQ1
dc.identifier.startpage915
dc.identifier.urihttps://doi.org/10.1016/j.amc.2004.09.033
dc.identifier.urihttps://hdl.handle.net/11508/60232
dc.identifier.volume168
dc.identifier.wosWOS:000232760000015
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 combined Korteweg de Vries-modified korteweg de Vries equation
dc.subjectsolitary-wave solution
dc.subjectthe convergence of adomian decomposition method
dc.titleA numerical application of the decomposition method for the combined KdV-MKdV equation
dc.typeArticle

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