The modified reductive perturbation method as applied to Boussinesq equation: strongly dispersive case

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:20Z
dc.date.available2015-01-15T23:00:20Z
dc.date.issued2005-05-05
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 Boussinesq equation for strongly dispersive case and tried to obtain the contribution of higher order terms in the perturbation expansion. It is shown that the first order term in the perturbation expansion is governed by the non-linear Schrodinger equation and the second order term is governed by the linearized Schrodinger equation with a non-homogeneous term. In the long-wave limit, a travelling wave type of solution to these equations is also given.en_US
dc.identifier.citationDemiray, H. (2005). The modified reductive perturbation method as applied to boussinesq equation: Strongly dispersive case. Applied Mathematics and Computation, 164(1), 1-9. doi:10.1016/j.amc.2004.06.076en_US
dc.identifier.doi10.1016/j.amc.2004.06.076
dc.identifier.endpage9
dc.identifier.issn0096-3003
dc.identifier.issue1
dc.identifier.scopus2-s2.0-14844358220
dc.identifier.scopusqualityQ1
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/182
dc.identifier.urihttp://dx.doi.org/10.1016/j.amc.2004.06.076
dc.identifier.volume164
dc.identifier.wosWOS:000228221600001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHigher-order termsen_US
dc.subjectSolitary wavesen_US
dc.subjectAlgebraen_US
dc.subjectDifferential equationsen_US
dc.subjectDifferential equationsen_US
dc.subjectHarmonic analysisen_US
dc.subjectNonlinear equationsen_US
dc.subjectParameter estimationen_US
dc.subjectCold plasmaen_US
dc.subjectElastic tubesen_US
dc.subjectKorteweg-de Vries (KdV) equationen_US
dc.subjectNon-homogeneous termsen_US
dc.subjectPerturbation techniquesen_US
dc.titleThe modified reductive perturbation method as applied to Boussinesq equation: strongly dispersive caseen_US
dc.typeArticleen_US

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