Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case

Basit Öğe Kaydı
dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T22:59:59Z
dc.date.available2015-01-15T22:59:59Z
dc.date.issued2003-07
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionThis work was partially supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, and then utilizing the modified reductive perturbation technique presented by us [15] the amplitude modulation of weakly nonlinear waves is examined. It is shown that the first order term in the perturbation expansion is governed by a nonlinear Schrodinger equation and the second order term is governed by the linearized Schrodinger equation with a nonhomogeneous term. In the longwave limit a travelling wave type of solution to these equations are also given.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2003). Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: Strongly dispersive case. International Journal of Engineering Science, 41(12), 1387-1403. doi:10.1016/S0020-7225(03)00039-9en_US
dc.identifier.doi10.1016/S0020-7225(03)00039-9
dc.identifier.endpage1403
dc.identifier.issn0020-7225
dc.identifier.issn1879-2197
dc.identifier.issue12
dc.identifier.scopus2-s2.0-0038415719
dc.identifier.scopusqualityQ1
dc.identifier.startpage1387
dc.identifier.urihttps://hdl.handle.net/11729/131
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(03)00039-9
dc.identifier.volume41
dc.identifier.wosWOS:000182959500006
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.publisherPergamon-Elsevier Scienceen_US
dc.relation.ispartofInternational Journal of Engineering Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectElastic tubesen_US
dc.subjectInviscid fluiden_US
dc.subjectPropagationen_US
dc.subjectPressureen_US
dc.subjectAmplitude modulationen_US
dc.subjectElasticityen_US
dc.subjectIncompressible flowen_US
dc.subjectNonlinear equationsen_US
dc.subjectTubes (components)en_US
dc.titleContributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive caseen_US
dc.typeArticleen_US
dspace.entity.typePublication

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