An application of the ADM to seven-order Sawada-Kotara equations

Basit Öğe Kaydı
dc.contributor.authorEl-Sayed, SM
dc.contributor.authorKaya, D
dc.date.accessioned2026-08-12T17:45:12Z
dc.date.issued2004
dc.departmentFırat Üniversitesi
dc.description.abstractWe implemented the Adomian decomposition method (for short, ADM) for approximating the solution of the seventh-order Sawada-Kotera (for short, sSK) and a Lax's seventh-order KdV (for short, LsKdV) equations. By using this scheme, explicit exact solution is calculated. We obtain the exact solitary-wave solutions and numerical solutions of the LsKdV and sSK equations for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the both seven-order equations. (C) 2003 Elsevier Inc. All rights reserved.
dc.identifier.doi10.1016/j.amc.2003.08.104
dc.identifier.endpage101
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue1
dc.identifier.scopus2-s2.0-4344646714
dc.identifier.scopusqualityQ1
dc.identifier.startpage93
dc.identifier.urihttps://doi.org/10.1016/j.amc.2003.08.104
dc.identifier.urihttps://hdl.handle.net/11508/60578
dc.identifier.volume157
dc.identifier.wosWOS:000224184700008
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 Adomian decomposition method
dc.subjectthe seventh-order Sawada-Kotera equation
dc.subjectLax's seventh-order KdV equation
dc.subjectsolitary-wave solution
dc.subjectthe convergence of Adomian decomposition method
dc.titleAn application of the ADM to seven-order Sawada-Kotara equations
dc.typeArticle

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu