dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T22:59:59Z | |
dc.date.available | 2015-01-15T22:59:59Z | |
dc.date.issued | 2003-07 | |
dc.identifier.citation | Demiray, H. (2003). Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: Strongly dispersive case. International Journal of Engineering Science, 41(12), 1387-1403. doi:10.1016/S0020-7225(03)00039-9 | en_US |
dc.identifier.issn | 0020-7225 | |
dc.identifier.issn | 1879-2197 | |
dc.identifier.uri | https://hdl.handle.net/11729/131 | |
dc.identifier.uri | http://dx.doi.org/10.1016/S0020-7225(03)00039-9 | |
dc.description | This work was partially supported by the Turkish Academy of Sciences. | 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 modified reductive perturbation technique presented by us [15] the amplitude modulation of weakly nonlinear waves is examined. It is shown that the first order term in the perturbation expansion is governed by a nonlinear Schrodinger equation and the second order term is governed by the linearized Schrodinger equation with a nonhomogeneous term. In the longwave limit a travelling wave type of solution to these equations are also given. | en_US |
dc.description.sponsorship | Türkiye Bilimler Akademisi | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Pergamon-Elsevier Science | en_US |
dc.relation.isversionof | 10.1016/S0020-7225(03)00039-9 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Elastic tubes | en_US |
dc.subject | Inviscid fluid | en_US |
dc.subject | Propagation | en_US |
dc.subject | Pressure | en_US |
dc.subject | Amplitude modulation | en_US |
dc.subject | Elasticity | en_US |
dc.subject | Incompressible flow | en_US |
dc.subject | Nonlinear equations | en_US |
dc.subject | Tubes (components) | en_US |
dc.title | Contributions of higher order terms to nonlinear waves in fluid-filled elastic tubes: strongly dispersive case | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | International Journal of Engineering Science | 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 | 41 | |
dc.identifier.issue | 12 | |
dc.identifier.startpage | 1387 | |
dc.identifier.endpage | 1403 | |
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:000182959500006 | |