Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic 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.accessioned2015-01-15T23:00:08Z
dc.date.available2015-01-15T23:00:08Z
dc.date.issued2004-02-05
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. Demıray was supported by the Turkish Academy of Sciences; I. Bakirtaş was supported by the Scientific and Technical Research Council of Turkey. I. Bakirtaş is also thankful to Professor T.B. Moodie for his hospitality while she was visiting the University of Alberta to carry out a part of this research.en_US
dc.description.abstractUsing the nonlinear differential equations governing the motion of a fluid-filled and prestressed long thin elastic tube, the propagation of nonlinear waves-near the marginal state is examined through the use of reductive perturbation method. It is shown that the amplitude modulation near the marginal state is governed by a generalized nonlinear Schrodinger (GNLS) equation. Some exact solutions, including oscillatory and solitary waves of the GNLS equation are presented.en_US
dc.description.sponsorshipTürkiye Bilimsel ve Teknolojik Araştırma Kurumuen_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBakirtaş, İ. & Demıray, H. (2004). Modulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubes. Applied Mathematics and Computation, 149(1), 83-101. doi:10.1016/S0096-3003(02)00958-Xen_US
dc.identifier.doi10.1016/S0096-3003(02)00958-X
dc.identifier.endpage101
dc.identifier.issn0096-3003
dc.identifier.issue1
dc.identifier.scopus2-s2.0-0348011341
dc.identifier.scopusqualityQ1
dc.identifier.startpage83
dc.identifier.urihttps://hdl.handle.net/11729/158
dc.identifier.urihttp://dx.doi.org/10.1016/S0096-3003(02)00958-X
dc.identifier.volume149
dc.identifier.wosWOS:000188196000006
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 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.subjectSchrodinger-equationen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectAmplitude modulationen_US
dc.subjectDifferential equationsen_US
dc.subjectElasticityen_US
dc.subjectOscillationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectTubes (components)en_US
dc.subjectElastic tubesen_US
dc.subjectNonlinear wavesen_US
dc.subjectNonlinear equationsen_US
dc.titleModulation of nonlinear waves near the marginal state of instability in fluid-filled elastic tubesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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