dc.contributor.author | Demiray, Hilmi | en_US |
dc.contributor.illustrator | Demiray, Hilmi | en_US |
dc.date.accessioned | 2019-08-31T12:10:23Z | |
dc.date.accessioned | 2019-08-05T16:05:05Z | |
dc.date.available | 2019-08-31T12:10:23Z | |
dc.date.available | 2019-08-05T16:05:05Z | |
dc.date.issued | 2005-06 | |
dc.identifier.citation | Demiray, H. (2005). On some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive case. Communications in Nonlinear Science and Numerical Simulation, 10(4), 425-440. doi:10.1016/j.cnsns.2003.08.005 | en_US |
dc.identifier.issn | 1007-5704 | en_US |
dc.identifier.uri | https://hdl.handle.net/11729/2032 | |
dc.identifier.uri | https://dx.doi.org/10.1016/j.cnsns.2003.08.005 | |
dc.description.abstract | By employing the nonlinear equations of motion of an incompressible, isotropic and prestressed thin viscoelastic tube and the approximate equations of an incompressible inviscid fluid, we studied the existence of some possible evolution equations in the long-wave approximation and their progressive wave solutions. It is shown that, depending on the set of values of the initial deformation, it is possible to obtain the modified Burgers, the modified KdV and the modified KdV-Burgers equations. A set of progressive wave solutions is presented for such evolution equations. It is observed that for all these modified evolution equations the wave speeds are proportional to the square of the wave amplitude. | en_US |
dc.description.sponsorship | This work was supported by the Turkish Academy of Sciences. Appendix A | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | KdV | en_US |
dc.subject | KdV-Burgers equations | en_US |
dc.subject | Modified Burgers | en_US |
dc.subject | Progressive waves | en_US |
dc.subject | Viscoelastic tubes | en_US |
dc.title | On some nonlinear waves in fluid-filled viscoelastic tubes: Weakly dispersive case | en_US |
dc.type | Article | en_US |
dc.description.version | Publisher's Version | en_US |
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.authorid | 0000-0001-8590-3396 | |
dc.authorid | 0000-0001-8590-3396 | en_US |
dc.identifier.volume | 10 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 425 | |
dc.identifier.endpage | 440 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.identifier.scopus | 2-s2.0-6444229544 | en_US |
dc.identifier.doi | 10.1016/j.cnsns.2003.08.005 | |
dc.identifier.scopusquality | Q1 | en_US |