dc.contributor.author | Bakırtaş, İlkay | en_US |
dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:00:08Z | |
dc.date.available | 2015-01-15T23:00:08Z | |
dc.date.issued | 2004-07-15 | |
dc.identifier.citation | Bakırtaş, İ. & Demiray, H. (2004). Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube. Applied Mathematics and Computation, 154(3), 747-767. doi:10.1016/S0096-3003(03)00748-3 | en_US |
dc.identifier.issn | 0096-3003 | |
dc.identifier.issn | 1873-5649 | |
dc.identifier.uri | https://hdl.handle.net/11729/153 | |
dc.identifier.uri | http://dx.doi.org/10.1016/S0096-3003(03)00748-3 | |
dc.description | In conducting this research, H.D. was supported by the Turkish Academy of Sciences. | en_US |
dc.description.abstract | In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible inviscid fluid the evolution equation is obtained as the nonlinear Schrodinger equation with variable coefficients. It is shown that this type of equations admit a solitary wave type of solution with variable wave speed. It is observed that, the wave speed decreases with distance for tubes with descending radius while it increases for tubes with ascending radius. | en_US |
dc.description.sponsorship | In conducting this research, H.D. was supported by the Turkish Academy of Sciences | en_US |
dc.description.sponsorship | Türkiye Bilimler Akademisi | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier Science Inc | en_US |
dc.relation.isversionof | 10.1016/S0096-3003(03)00748-3 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Viscous-fluid | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Shock waves | en_US |
dc.subject | Propagation | en_US |
dc.subject | Pressure | en_US |
dc.subject | Arteries | en_US |
dc.subject | Equation | en_US |
dc.subject | Amplitude modulation | en_US |
dc.subject | Asymptotic stability | en_US |
dc.subject | Blood vessels | en_US |
dc.subject | Elasticity | en_US |
dc.subject | Kinematics | en_US |
dc.subject | Perturbation techniques | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Solitons | en_US |
dc.subject | Water waves | en_US |
dc.subject | Elastic tubes | en_US |
dc.subject | Evolution equation | en_US |
dc.subject | Nonlinear waves | en_US |
dc.subject | Nonlinear systems | en_US |
dc.title | Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Applied Mathematics and Computation | 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 | 154 | |
dc.identifier.issue | 3 | |
dc.identifier.startpage | 747 | |
dc.identifier.endpage | 767 | |
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:000223013900012 | |