Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube

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dc.authorid0000-0003-4640-0248
dc.authorid0000-0001-8590-3396
dc.contributor.authorBakırtaş, İlkayen_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:08Z
dc.date.available2015-01-15T23:00:08Z
dc.date.issued2004-07-15
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionIn conducting this research, H.D. was supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible inviscid fluid the evolution equation is obtained as the nonlinear Schrodinger equation with variable coefficients. It is shown that this type of equations admit a solitary wave type of solution with variable wave speed. It is observed that, the wave speed decreases with distance for tubes with descending radius while it increases for tubes with ascending radius.en_US
dc.description.sponsorshipIn conducting this research, H.D. was supported by the Turkish Academy of Sciencesen_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBakırtaş, İ. & Demiray, H. (2004). Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube. Applied Mathematics and Computation, 154(3), 747-767. doi:10.1016/S0096-3003(03)00748-3en_US
dc.identifier.doi10.1016/S0096-3003(03)00748-3
dc.identifier.endpage767
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue3
dc.identifier.scopus2-s2.0-3042752345
dc.identifier.scopusqualityQ1
dc.identifier.startpage747
dc.identifier.urihttps://hdl.handle.net/11729/153
dc.identifier.urihttp://dx.doi.org/10.1016/S0096-3003(03)00748-3
dc.identifier.volume154
dc.identifier.wosWOS:000223013900012
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.publisherElsevier Science Incen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectViscous-fluiden_US
dc.subjectSolitary wavesen_US
dc.subjectShock wavesen_US
dc.subjectPropagationen_US
dc.subjectPressureen_US
dc.subjectArteriesen_US
dc.subjectEquationen_US
dc.subjectAmplitude modulationen_US
dc.subjectAsymptotic stabilityen_US
dc.subjectBlood vesselsen_US
dc.subjectElasticityen_US
dc.subjectKinematicsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectElastic tubesen_US
dc.subjectEvolution equationen_US
dc.subjectNonlinear wavesen_US
dc.subjectNonlinear systemsen_US
dc.titleAmplitude modulation of nonlinear waves in a fluid-filled tapered elastic tubeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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