On the contribution of higher order terms to solitary waves in fluid filled elastic tubes

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T22:58:56Z
dc.date.available2015-01-15T22:58:56Z
dc.date.issued2000-01
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_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, the propagation of weakly nonlinear waves, in such a medium is studied through the use of the modified multiple scale expansion method. It is shown that the evolution of the lowest order (first order) term in the perturbation expansion may be described by the Korteweg-de Vries equation. The governing equation for the second order terms and the localized travelling wave solution for these equations are also obtained. The applicability of the present model to flow problems in arteries is discussed. Mathematics Subject Classification (1991).en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2000). On the contribution of higher order terms to solitary waves in fluid filled elastic tubes. Zeitschrift Für Angewandte Mathematik Und Physik, 51(1), 75-91. doi:10.1007/PL00001508en_US
dc.identifier.doi10.1007/PL00001508
dc.identifier.endpage91
dc.identifier.issn0044-2275
dc.identifier.issn1420-9039
dc.identifier.issue1
dc.identifier.scopus2-s2.0-0034340151
dc.identifier.scopusqualityQ1
dc.identifier.startpage75
dc.identifier.urihttps://hdl.handle.net/11729/91
dc.identifier.urihttp://dx.doi.org/10.1007/PL00001508
dc.identifier.volume51
dc.identifier.wosWOS:000085349800005
dc.identifier.wosqualityQ2
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.publisherBirkhauser Verlagen_US
dc.relation.ispartofZeitschrift fur Angewandte Mathematik und Physiken_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.titleOn the contribution of higher order terms to solitary waves in fluid filled elastic tubesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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