Interactions of nonlinear waves in fluid-filled elastic tubes

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:51Z
dc.date.available2015-01-15T23:00:51Z
dc.date.issued2007-02
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 an artery as a prestressed thin-walled elastic tube and the blood as an inviscid fluid, the interactions of two nonlinear waves propagating in opposite directions are studied in the longwave approximation by use of the extended PLK (Poincare-Lighthill-Kuo) perturbation method. The results show that up to O(k(3)), where k is the wave number, the head-on collision of two solitary waves is elastic and the solitary waves preserve their original properties after the interaction. The leading-order analytical phase shifts and the trajectories of two solitons after the collision are derived explicitly.en_US
dc.description.sponsorshipThis work was partially supported by the Turkish Academy of Sciences (TÜBA)en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's versionen_US
dc.identifier.citationDemiray, H. (2007). Interactions of nonlinear waves in fluid-filled elastic tubes. Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 62(1-2), 21-28. doi:10.1515/zna-2007-1-204en_US
dc.identifier.doi10.1515/zna-2007-1-204
dc.identifier.endpage28
dc.identifier.issn0932-0784
dc.identifier.issue1-2
dc.identifier.scopus2-s2.0-39049102492
dc.identifier.scopusqualityQ3
dc.identifier.startpage21
dc.identifier.urihttps://hdl.handle.net/11729/276
dc.identifier.urihttp://dx.doi.org/10.1515/zna-2007-1-204
dc.identifier.volume62
dc.identifier.wosWOS:000245210700004
dc.identifier.wosqualityQ3
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.publisherVerlag Z Naturforschen_US
dc.relation.ispartofZeitschrift fur Naturforschung - Section A Journal of Physical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectElastic tubesen_US
dc.subjectSolitary wavesen_US
dc.subjectWave interactionen_US
dc.subjectPressure wavesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleInteractions of nonlinear waves in fluid-filled elastic tubesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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