An application of modified reductive perturbation method to symmetric regularized-long-wave

Basit Öğe Kaydı
dc.authorid0000-0001-8590-3396
dc.authorid0000-0001-8590-3396en_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2020-09-18T07:30:59Z
dc.date.available2020-09-18T07:30:59Z
dc.date.issued2011-03-24
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn this work, we extended the application of "the modified reductive perturbation method" to symmetrical regularized long waves with quadratic nonlinearity and obtained various form of KdV equations as the governing equations. Seeking a localized travelling wave solutions to these evolution equations we determined the scale parameters g(1) and g(2) so as to remove the possible secularities that might occur. To indicate the power and elegance of the present method, we compared our result with the exact travelling wave solution of the symmetric regularized long-wave equation with quadratic nonlinearity. These results show that for weakly nonlinear case the solutions for both approaches coincide with each other. The present method is seen to be fairly simple as compared to the renormalization method of Kodama and Taniuti [4] and the multiple scale expansion method of Kraenkel et al [6].en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2011). An application of modified reductive perturbation method to symmetric regularized-long-wave. TWMS Journal of Applied and Engineering Mathematics, 1(1), 49-57.en_US
dc.identifier.endpage57
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.issue1
dc.identifier.startpage49
dc.identifier.urihttps://hdl.handle.net/11729/2417
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/87-vol1no1/169
dc.identifier.volume1
dc.identifier.wosWOS:000218991100005en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectModified reductive perturbation methoden_US
dc.subjectIon-acoustic wavesen_US
dc.subjectKorteweg-deVries hierarchyen_US
dc.titleAn application of modified reductive perturbation method to symmetric regularized-long-waveen_US
dc.typeArticleen_US

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Koleksiyon

FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
JAEM 2011, Vol 1, No 1
WoS İndeksli Yayınlar Koleksiyonu