dc.contributor.author | Eden, Osman Alp | en_US |
dc.contributor.author | Erbay, Saadet | en_US |
dc.contributor.author | Hacınlıyan, Irma | en_US |
dc.date.accessioned | 2015-01-15T23:01:18Z | |
dc.date.available | 2015-01-15T23:01:18Z | |
dc.date.issued | 2009-07-30 | |
dc.identifier.citation | Eden, A., Erbay, S., & Hacinliyan, I. (2009). Reducing a generalized Davey–Stewartson system to a non-local nonlinear schrödinger equation. Chaos, Solitons and Fractals, 41(2), 688-697. doi:10.1016/j.chaos.2007.11.035 | en_US |
dc.identifier.issn | 0960-0779 | |
dc.identifier.issn | 1873-2887 | |
dc.identifier.uri | https://hdl.handle.net/11729/324 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.chaos.2007.11.035 | |
dc.description.abstract | In the present study, we consider a generalized (2 + 1) Davey-Stewartson (GDS) system consisting of a nonlinear Schrodinger (NLS) type equation for the complex amplitude of a short wave and two asymmetrically coupled linear wave equations for long waves propagating in an infinite elastic medium. We obtain integral representation of solutions to the coupled linear wave equations and reduce the GDS system to a NLS equation with non-local terms. Finally, we present localized solutions to the GDS system, decaying in both spatial coordinates, for a special choice of parameters by using the integral representation of solutions to the coupled linear wave equations. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
dc.relation.isversionof | 10.1016/j.chaos.2007.11.035 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | 2 spatial dimensions | en_US |
dc.subject | Evolution equations | en_US |
dc.subject | Couple-stresses | en_US |
dc.subject | Packets | en_US |
dc.subject | Waves | en_US |
dc.subject | Choice of parameters | en_US |
dc.subject | Complex amplitude | en_US |
dc.subject | Dinger equation | en_US |
dc.subject | Elastic medium | en_US |
dc.subject | Integral representation | en_US |
dc.subject | Linear wave equation | en_US |
dc.subject | Localized solutions | en_US |
dc.subject | Long waves | en_US |
dc.subject | NLS equations | en_US |
dc.subject | Nonlinear equations | en_US |
dc.subject | Nonlinear Schrödinger equation | en_US |
dc.subject | Nonlocal | en_US |
dc.subject | Schrödinger equation | en_US |
dc.subject | Semilinear wave | en_US |
dc.subject | Short waves | en_US |
dc.subject | Spatial coordinates | en_US |
dc.subject | Submarine geophysics | en_US |
dc.subject | Wave equations | en_US |
dc.subject | Integral equations | en_US |
dc.subject | Davey stewartson | en_US |
dc.title | Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrodinger equation | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Chaos, Solitons and Fractals | 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 | 0000-0002-6080-4591 | |
dc.identifier.volume | 41 | |
dc.identifier.issue | 2 | |
dc.identifier.startpage | 688 | |
dc.identifier.endpage | 697 | |
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 | Erbay, Saadet | 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:000267379700016 | |