Amplitude modulation of nonlinear waves in fluid-filled tapered tubes

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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.accessioned2015-01-15T22:59:58Z
dc.date.available2015-01-15T22:59:58Z
dc.date.issued2003-12
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe study the modulation of nonlinear waves in fluid-filled prestressed tapered tubes. For this, we obtain the nonlinear dynamical equations of motion of a prestressed tapered tube filled with an incompressible inviscid fluid. Assuming that the tapering angle is small and using the reductive perturbation method, we study the amplitude modulation of nonlinear waves and obtain the nonlinear Schrodinger equation with variable coefficients as the evolution equation. A traveling-wave type of solution of such a nonlinear equation with variable coefficients is obtained, and we observe that in contrast to the case of a constant tube radius, the speed of the wave is variable. Namely, the wave speed increases with distance for narrowing. tubes and decreases for expanding tubes.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBakirtaş, İ. & Demiray, H. (2003). Amplitude modulation of nonlinear waves in fluid-filled tapered tubes. Theoretical and Mathematical Physics, 137(3), 1635-1644. doi:10.1023/B:TAMP.0000007912.49768.23en_US
dc.identifier.doi10.1023/B:TAMP.0000007912.49768.23
dc.identifier.endpage1644
dc.identifier.issn0040-5779
dc.identifier.issn1573-9333
dc.identifier.issue3
dc.identifier.scopus2-s2.0-3943056135
dc.identifier.scopusqualityQ3
dc.identifier.startpage1635
dc.identifier.urihttps://hdl.handle.net/11729/122
dc.identifier.urihttp://dx.doi.org/10.1023/B:TAMP.0000007912.49768.23
dc.identifier.volume137
dc.identifier.wosWOS:000188329000001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.indekslendigikaynakConference Proceedings Citation Index – Science (CPCI-S)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherConsultants Bureauen_US
dc.relation.ispartofTheoretical and Mathematical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectNonlinear wave modulationen_US
dc.subjectTapered elastic tubesen_US
dc.subjectNonlinear Schrodinger equationen_US
dc.titleAmplitude modulation of nonlinear waves in fluid-filled tapered tubesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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