Nonlinear wave modulation in a fluid-filled elastic tube with stenosis

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:08Z
dc.date.available2015-01-15T23:01:08Z
dc.date.issued2008-01
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 (TÜBA)en_US
dc.description.abstractIn the present work, treating the arteries as a thin-walled and prestressed elastic tube with a stenosis and the blood as a Newtonian fluid with negligible viscosity, we have studied the amplitude modulation of nonlinear waves in such a composite system by use of the reductive perturbation method. The a governing evolution equation was obtained as the variable coefficient nonlinear Schrodinger (NLS) equation. By setting the stenosis function equal to zero, we observed that this variable coefficient NLS equation reduces to the conventional NLS equation. After introducing a new dependent variable and a set of new independent coordinates, we reduced the evolution equation to the conventional NLS equation. By seeking a progressive wave type of solution to this evolution equation we observed, that the wave trajectories are not straight lines anymore; they are rather some curves in the (xi, tau) plane. It was further observed that the wave speeds for both enveloping and harmonic waves are variable, and the speed of the enveloping wave increases with increasing axial distance, whereas the speed of the harmonic wave decreases with increasing axial coordinates. The numerical calculations indicated that the speed of the harmonic wave decreases with increasing time parameter, but the sensitivity of wave speed to this parameter is quite weak.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2008). Nonlinear wave modulation in a fluid-filled elastic tube with stenosis. Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 63(1-2), 24-34. doi:10.1515/zna-2008-1-205en_US
dc.identifier.doi10.1515/zna-2008-1-205
dc.identifier.endpage34
dc.identifier.issn0932-0784
dc.identifier.issue1-2
dc.identifier.scopus2-s2.0-46649115513
dc.identifier.scopusqualityQ2
dc.identifier.startpage24
dc.identifier.urihttps://hdl.handle.net/11729/316
dc.identifier.urihttp://dx.doi.org/10.1515/zna-2008-1-205
dc.identifier.volume63
dc.identifier.wosWOS:000254301600005
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.publisherVerlag Z Naturforschen_US
dc.relation.ispartofZeitschrift fur Naturforschung - Section A Journal of Physical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectTubes with stenosisen_US
dc.subjectWave modulationen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleNonlinear wave modulation in a fluid-filled elastic tube with stenosisen_US
dc.typeArticleen_US
dspace.entity.typePublication

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