Contribution of higher order terms to the nonlinear shallow water waves

Basit Öğe Kaydı
dc.authorid0000-0001-8590-3396
dc.authorid0000-0001-8590-3396en_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2020-09-28T13:10:33Z
dc.date.available2020-09-28T13:10:33Z
dc.date.issued2012-05-12
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, by utilizing the scaled multiple-space expansion method, we studied the propagation of weakly nonlinear waves in shallow water and obtained the governing evolution equations of various order terms in the perturbation expansion. Seeking a progressive wave solution to these evolution equations we obtained the speed correction terms so as to remove some possible secularities. The result obtained here is exactly the same with that of obtained by the modified reductive perturbation method [12]. We also proposed a method for the evolution equation governing the n th order term in the perturbation expansion. By defining a single time parameter we showed the connection of the modified reductive perturbation method to the scaled multiple-space expansion method.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2012). Contribution of higher order terms to the nonlinear shallow water waves. TWMS Journal Of Applied And Engineering Mathematics, 2(2), 210-218.en_US
dc.identifier.endpage218
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.issue2
dc.identifier.startpage210
dc.identifier.urihttps://hdl.handle.net/11729/2479
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/84-vol2no2/140
dc.identifier.volume2
dc.identifier.wosWOS:000218993200007en_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.subjectShallow water wavesen_US
dc.subjectScaled multiple-space expansionen_US
dc.subjectSolitary wavesen_US
dc.titleContribution of higher order terms to the nonlinear shallow water wavesen_US
dc.typeArticleen_US

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Koleksiyon

FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
JAEM 2012, Vol 2, No 2
WoS İndeksli Yayınlar Koleksiyonu