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On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions

dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:07Z
dc.date.available2015-01-15T23:00:07Z
dc.date.issued2004-09
dc.identifier.citationDemiray, H. (2004). On the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutions. International Journal of Engineering Science, 42(15-16), 1693-1706. doi:10.1016/j.ijengsci.2004.02.003en_US
dc.identifier.issn0020-7225
dc.identifier.issn1879-2197
dc.identifier.urihttps://hdl.handle.net/11729/150
dc.identifier.urihttp://dx.doi.org/10.1016/j.ijengsci.2004.02.003
dc.descriptionThis work was supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn the present work, by employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin elastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some possible evolution equations in the longwave approximation and their progressive wave solutions. It is shown that, depending on the set of values of the initial deformation, it might be possible to obtain the conventional Korteweg-deVries (KdV) and the modified KdV equations of various forms. Finally, a set of progressive wave solutions is presented for such evolution equations.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.language.isoengen_US
dc.publisherPergamon-Elsevier Science Ltd.en_US
dc.relation.isversionof10.1016/j.ijengsci.2004.02.003
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectShock wavesen_US
dc.subjectPropagationen_US
dc.subjectPressureen_US
dc.subjectArteriesen_US
dc.subjectPrestressed elastic tubesen_US
dc.subjectKdV equationen_US
dc.subjectModified KdV equationsen_US
dc.subjectCrack propagationen_US
dc.subjectDeformationen_US
dc.subjectDispersionsen_US
dc.subjectHeat convectionen_US
dc.subjectIncompressible flowen_US
dc.subjectKinematicsen_US
dc.subjectLinear equationsen_US
dc.subjectMathematical modelsen_US
dc.subjectNonlinear equationsen_US
dc.subjectKdV equationsen_US
dc.subjectElasticity testingen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleOn the existence of some evolution equations in fluid-filled elastic tubes and their progressive wave solutionsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalInternational Journal of Engineering Scienceen_US
dc.contributor.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.contributor.authorID0000-0001-8590-3396
dc.identifier.volume42
dc.identifier.issue15-16
dc.identifier.startpage1693
dc.identifier.endpage1706
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorDemiray, Hilmien_US
dc.relation.indexWOSen_US
dc.relation.indexScopusen_US
dc.relation.indexScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.description.qualityQ1
dc.description.wosidWOS:000223984600009


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