dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:00:20Z | |
dc.date.available | 2015-01-15T23:00:20Z | |
dc.date.issued | 2005-05-05 | |
dc.identifier.citation | Demiray, H. (2005). The modified reductive perturbation method as applied to boussinesq equation: Strongly dispersive case. Applied Mathematics and Computation, 164(1), 1-9. doi:10.1016/j.amc.2004.06.076 | en_US |
dc.identifier.issn | 0096-3003 | |
dc.identifier.uri | https://hdl.handle.net/11729/182 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.amc.2004.06.076 | |
dc.description.abstract | In this work, we extended the application of "the modified reductive perturbation method" to Boussinesq equation for strongly dispersive case and tried to obtain the contribution of higher order terms in the perturbation expansion. It is shown that the first order term in the perturbation expansion is governed by the non-linear Schrodinger equation and the second order term is governed by the linearized Schrodinger equation with a non-homogeneous term. In the long-wave limit, a travelling wave type of solution to these equations is also given. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier Science Inc | en_US |
dc.relation.isversionof | 10.1016/j.amc.2004.06.076 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Higher-order terms | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Algebra | en_US |
dc.subject | Differential equations | en_US |
dc.subject | Differential equations | en_US |
dc.subject | Harmonic analysis | en_US |
dc.subject | Nonlinear equations | en_US |
dc.subject | Parameter estimation | en_US |
dc.subject | Cold plasma | en_US |
dc.subject | Elastic tubes | en_US |
dc.subject | Korteweg-de Vries (KdV) equation | en_US |
dc.subject | Non-homogeneous terms | en_US |
dc.subject | Perturbation techniques | en_US |
dc.title | The modified reductive perturbation method as applied to Boussinesq equation: strongly dispersive case | en_US |
dc.type | article | 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 | 164 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 1 | |
dc.identifier.endpage | 9 | |
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:000228221600001 | |