dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:00:00Z | |
dc.date.available | 2015-01-15T23:00:00Z | |
dc.date.issued | 2003 | |
dc.identifier.citation | Demiray, H. (2003). Amplitude modulation of nonlinear waves in a fluid-filled tapered elastic tube. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 83(6), 397-408. doi:10.1002/zamm.200310028 | en_US |
dc.identifier.issn | 0044-2267 | |
dc.identifier.issn | 1873-5649 | |
dc.identifier.uri | https://hdl.handle.net/11729/140 | |
dc.identifier.uri | http://dx.doi.org/10.1002/zamm.200310028 | |
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 non-viscous 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 a variable wave speed. It is observed that the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes. | en_US |
dc.description.sponsorship | Türkiye Bilimler Akademisi | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Wiley-V C H Verlag | en_US |
dc.relation.isversionof | 10.1002/zamm.200310028 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Tapered tubes | en_US |
dc.subject | Nonlinear modulation | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Shock waves | en_US |
dc.subject | Propagation | en_US |
dc.subject | Arteries | 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 | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik | 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 | 83 | |
dc.identifier.issue | 6 | |
dc.identifier.startpage | 397 | |
dc.identifier.endpage | 408 | |
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:000183827600004 | |