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

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:00Z
dc.date.available2015-01-15T23:00:00Z
dc.date.issued2003
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 non-viscous 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 a variable wave speed. It is observed that the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2003). Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 83(6), 397-408. doi:10.1002/zamm.200310028en_US
dc.identifier.doi10.1002/zamm.200310028
dc.identifier.endpage408
dc.identifier.issn0044-2267
dc.identifier.issn1873-5649
dc.identifier.issue6
dc.identifier.scopus2-s2.0-20544464198
dc.identifier.scopusqualityQ2
dc.identifier.startpage397
dc.identifier.urihttps://hdl.handle.net/11729/140
dc.identifier.urihttp://dx.doi.org/10.1002/zamm.200310028
dc.identifier.volume83
dc.identifier.wosWOS:000183827600004
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.publisherWiley-V C H Verlagen_US
dc.relation.ispartofZAMM Zeitschrift fur Angewandte Mathematik und Mechaniken_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTapered tubesen_US
dc.subjectNonlinear modulationen_US
dc.subjectSolitary wavesen_US
dc.subjectShock wavesen_US
dc.subjectPropagationen_US
dc.subjectArteriesen_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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