Head-on collision of solitary waves in fluid-filled elastic tubes

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:19Z
dc.date.available2015-01-15T23:00:19Z
dc.date.issued2005-08
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 partially supported by the Turkish Academy of Sciences (TÜBA).en_US
dc.description.abstractIn this work, treating the arteries as a thin walled, prestressed thin elastic tube and the blood as an inviscid fluid, we have studied the propagation of nonlinear waves, in the longwave approximation, through the use of extended PLK perturbation method. The results show that, up to O(epsilon(2)), the head-on collision of two solitary waves is elastic and the solitary waves preserve their original properties after the collision. The leading-order analytical phase shifts and the trajectories of two solitons after the collision are derived explicitly.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2005). Head-on collision of solitary waves in fluid-filled elastic tubes. Applied Mathematics Letters, 18(8), 941-950. doi:10.1016/j.aml.2004.08.016en_US
dc.identifier.doi10.1016/j.aml.2004.08.016
dc.identifier.endpage950
dc.identifier.issn0893-9659
dc.identifier.issue8
dc.identifier.scopus2-s2.0-19044362939
dc.identifier.scopusqualityQ1
dc.identifier.startpage941
dc.identifier.urihttps://hdl.handle.net/11729/173
dc.identifier.urihttp://dx.doi.org/10.1016/j.aml.2004.08.016
dc.identifier.volume18
dc.identifier.wosWOS:000230683100015
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.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofApplied Mathematics Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPressure wavesen_US
dc.subjectElastic tubesen_US
dc.subjectSolitary wavesen_US
dc.subjectHead-on collisionen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectApproximation theoryen_US
dc.subjectBlooden_US
dc.subjectBlood vesselsen_US
dc.subjectElasticityen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPhase shiften_US
dc.subjectTrajectoriesen_US
dc.subjectTubes (components)en_US
dc.subjectNonlinear wavesen_US
dc.subjectWave propagationen_US
dc.titleHead-on collision of solitary waves in fluid-filled elastic tubesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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