On some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive case

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2019-08-31T12:10:23Z
dc.date.accessioned2019-08-05T16:05:05Z
dc.date.available2019-08-31T12:10:23Z
dc.date.available2019-08-05T16:05:05Z
dc.date.issued2005-06
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractBy employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin viscoelastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some possible evolution equations in the long-wave approximation and their progressive wave solutions. It is shown that, depending on the set of values of the initial deformation, it is possible to obtain the modified Burgers, the modified KdV and the modified KdV-Burgers equations. A set of progressive wave solutions is presented for such evolution equations. It is observed that for all these modified evolution equations the wave speeds are proportional to the square of the wave amplitude.en_US
dc.description.sponsorshipThis work was supported by the Turkish Academy of Sciences. Appendix Aen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2005). On some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive case. Communications in Nonlinear Science and Numerical Simulation, 10(4), 425-440. doi:10.1016/j.cnsns.2003.08.005en_US
dc.identifier.doi10.1016/j.cnsns.2003.08.005
dc.identifier.endpage440
dc.identifier.issn1007-5704
dc.identifier.issue4
dc.identifier.scopus2-s2.0-6444229544
dc.identifier.scopusqualityQ1
dc.identifier.startpage425
dc.identifier.urihttps://hdl.handle.net/11729/2032
dc.identifier.urihttps://dx.doi.org/10.1016/j.cnsns.2003.08.005
dc.identifier.volume10
dc.indekslendigikaynakScopus
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectKdVen_US
dc.subjectKdV-Burgers equationsen_US
dc.subjectModified Burgersen_US
dc.subjectProgressive wavesen_US
dc.subjectViscoelastic tubesen_US
dc.titleOn some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive caseen_US
dc.typeArticleen_US
dspace.entity.typePublication

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