dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:00:19Z | |
dc.date.available | 2015-01-15T23:00:19Z | |
dc.date.issued | 2005-08 | |
dc.identifier.citation | Demiray, 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.2004.08.016 | en_US |
dc.identifier.issn | 0893-9659 | |
dc.identifier.uri | https://hdl.handle.net/11729/173 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.aml.2004.08.016 | |
dc.description | This work was partially supported by the Turkish Academy of Sciences (TÜBA). | en_US |
dc.description.abstract | In 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.sponsorship | Türkiye Bilimler Akademisi | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
dc.relation.ispartof | 10.1016/j.aml.2004.08.016 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Pressure waves | en_US |
dc.subject | Elastic tubes | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Head-on collision | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Solitons | en_US |
dc.subject | Water waves | en_US |
dc.subject | Approximation theory | en_US |
dc.subject | Blood | en_US |
dc.subject | Blood vessels | en_US |
dc.subject | Elasticity | en_US |
dc.subject | Perturbation techniques | en_US |
dc.subject | Phase shift | en_US |
dc.subject | Trajectories | en_US |
dc.subject | Tubes (components) | en_US |
dc.subject | Nonlinear waves | en_US |
dc.subject | Wave propagation | en_US |
dc.title | Head-on collision of solitary waves in fluid-filled elastic tubes | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Applied Mathematics Letters | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0001-8590-3396 | |
dc.identifier.volume | 18 | |
dc.identifier.issue | 8 | |
dc.identifier.startpage | 941 | |
dc.identifier.endpage | 950 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Demiray, Hilmi | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.description.quality | Q1 | |
dc.description.wosid | WOS:000230683100015 | |