Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid
dc.authorid | 0000-0001-8590-3396 | |
dc.authorid | 0000-0001-8590-3396 | en_US |
dc.contributor.author | Bakırtaş, İlkay | en_US |
dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2019-08-31T12:10:23Z | |
dc.date.accessioned | 2019-08-05T16:05:07Z | |
dc.date.available | 2019-08-31T12:10:23Z | |
dc.date.available | 2019-08-05T16:05:07Z | |
dc.date.issued | 2002 | |
dc.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.description | Wessex Institute of Technology | en_US |
dc.description.abstract | In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid and then utilizing the reductive perturbation technique, the amplitude modulation of weakly nonlinear waves is examined. It is shown that, the amplitude modulation of these waves is governed by a nonlinear Schrödinger (NLS) equation. The result is compared with some previous works on the same subject. The modulational instability of the monochromatic wave solution is discussed for some elastic materials and initial deformations. It is shown that the amplitude modulation of weakly nonlinear waves near the marginal state is governed by the Generalized Nonlinear Schrödinger equation (GNLS). | en_US |
dc.description.version | Publisher's Version | en_US |
dc.identifier.citation | Bakırtaş, İ., Demiray, H., (2002). Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid. Paper presented at the Advances in Fluid Mechanics, 32, 695-703. | en_US |
dc.identifier.endpage | 703 | |
dc.identifier.isbn | 1853129100 | |
dc.identifier.issn | 1353-808X | en_US |
dc.identifier.startpage | 695 | |
dc.identifier.uri | https://hdl.handle.net/11729/2057 | |
dc.identifier.volume | 32 | |
dc.identifier.wos | WOS:000177065000064 | en_US |
dc.identifier.wosquality | N/A | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Conference Proceedings Citation Index – Science (CPCI-S) | en_US |
dc.institutionauthor | Demiray, Hilmi | en_US |
dc.language.iso | en | en_US |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.publisher | Wit Press | en_US |
dc.relation.ispartof | Advances in Fluid Mechanics | en_US |
dc.relation.ispartofseries | Advances In Fluid Mechanics Series | en_US |
dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Approximation theory | en_US |
dc.subject | Deformation | en_US |
dc.subject | Elastic materials | en_US |
dc.subject | Elasticity | en_US |
dc.subject | Incompressible flow | en_US |
dc.subject | Inviscid fluids | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Nonlinear equations | en_US |
dc.subject | Nonlinear waves | en_US |
dc.subject | Perturbation techniques | en_US |
dc.subject | Pressure | en_US |
dc.subject | Problem solving | en_US |
dc.subject | Propagation | en_US |
dc.subject | Schrodinger-equation | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Solitons | en_US |
dc.subject | Tubes (components) | en_US |
dc.subject | Water waves | en_US |
dc.title | Nonlinear wave modulation in a prestressed thin elastic tube filled with an inviscid fluid | en_US |
dc.type | Conference Object | en_US |
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