Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: Solitary waves

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:18Z
dc.date.available2015-01-15T23:01:18Z
dc.date.issued2009-10-15
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 supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn the present work, treating the arteries as a thin walled prestressed elastic tube with variable radius, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled elastic tube, by employing the reductive perturbation method. By considering the blood as an incompressible non-viscous fluid, the evolution equation is obtained as variable coefficients Korteweg-de Vries equation. Noticing that for a set of initial deformations, the coefficient characterizing the nonlinearity vanish, by re-scaling the stretched coordinates we obtained the variable coefficient modified KdV equation. Progressive wave solution is sought for this evolution equation and it is found that the speed of the wave is variable along the tube axis.en_US
dc.description.sponsorshipTurkish Academy of Sciencesen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2009). Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: Solitary waves. Chaos, Solitons and Fractals, 42(1), 358-364. doi:10.1016/j.chaos.2008.12.014en_US
dc.identifier.doi10.1016/j.chaos.2008.12.014
dc.identifier.endpage364
dc.identifier.issn0960-0779
dc.identifier.issue1
dc.identifier.scopus2-s2.0-67649871039
dc.identifier.scopusqualityQ1
dc.identifier.startpage358
dc.identifier.urihttps://hdl.handle.net/11729/318
dc.identifier.urihttp://dx.doi.org/10.1016/j.chaos.2008.12.014
dc.identifier.volume42
dc.identifier.wosWOS:000271434200050
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 Science Ltden_US
dc.relation.ispartofChaos, Solitons and Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPropagationen_US
dc.subjectPressureen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectElastic tubesen_US
dc.subjectEvolution equationsen_US
dc.subjectFluid-filleden_US
dc.subjectKdV equationsen_US
dc.subjectKorteweg-de Vries equationsen_US
dc.subjectLong-wave approximationen_US
dc.subjectNon-Linearityen_US
dc.subjectNonlinear wavesen_US
dc.subjectNonviscous fluidsen_US
dc.subjectPre-stresseden_US
dc.subjectProgressive wave solutionsen_US
dc.subjectReductive perturbation methodsen_US
dc.subjectSolitary waveen_US
dc.subjectThin-walleden_US
dc.subjectVariable coefficientsen_US
dc.subjectVariable radiusen_US
dc.subjectComputational mechanicsen_US
dc.subjectDifferential equationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectTubes (components)en_US
dc.subjectWavesen_US
dc.subjectControl nonlinearitiesen_US
dc.subjectThin walled structuresen_US
dc.titleVariable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: Solitary wavesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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