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dc.contributor.authorÖzden, Ali Erinçen_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2019-03-18T01:35:50Z
dc.date.available2019-03-18T01:35:50Z
dc.date.issued2018-04-12
dc.identifier.citationÖzden, A. E. & Demiray, H. (2018). Head-on collision of the solitary waves in fluid-filled elastic tubes. Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, 8(2), 386-398.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.otherWOS:000451973900005
dc.identifier.urihttps://hdl.handle.net/11729/1476
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/99-vol8no2/358
dc.description.abstractIn the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the head-on collision of solitary waves in arteries. Introducing a set of stretched coordinates which include some unknown functions characterizing the higher order dispersive effects and the trajectory functions to be determined from the removal of possible secularities that might occur in the solution. Expanding these unknown functions and the field variables into power series of the smallness parameter epsilon and introducing the resulting expansions into the field equations we obtained the sets of partial differential equations. By solving these differential equations and imposing the requirements for the removal of possible secularities we obtained the speed correction terms and the trajectory functions. The results of our calculation show that both the evolution equations and the phase shifts resulting from the head-on collision of solitary waves are quite different from those of Xue [15], who employed the incorrect formulation of Su and Mirie [4]. As opposed to the result of previous works on the same subject, in the present work the phase shifts depend on the amplitudes of both colliding waves.en_US
dc.language.isoengen_US
dc.publisherIşık University Pressen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectElastic tubesen_US
dc.subjectSolitary wavesen_US
dc.subjectHead-on collisionen_US
dc.subjectExtended PLK Methoden_US
dc.subjectNonlinear-wavesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleHead-on collision of the solitary waves in fluid-filled elastic tubesen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal of Applied and Engineering Mathematicsen_US
dc.contributor.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.contributor.authorID0000-0002-3714-6092
dc.contributor.authorID0000-0001-8590-3396
dc.identifier.volume8
dc.identifier.issue2
dc.identifier.startpage386
dc.identifier.endpage398
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorÖzden, Ali Erinçen_US
dc.contributor.institutionauthorDemiray, Hilmien_US


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