Reducing a generalized Davey-Stewartson system to a non-local nonlinear Schrodinger equation

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dc.authorid0000-0002-6080-4591
dc.authorid0000-0001-7076-2172
dc.contributor.authorEden, Osman Alpen_US
dc.contributor.authorErbay, Saadeten_US
dc.contributor.authorHacınlıyan, Irmaen_US
dc.date.accessioned2015-01-15T23:01:18Z
dc.date.available2015-01-15T23:01:18Z
dc.date.issued2009-07-30
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn 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.description.versionPublisher's Versionen_US
dc.identifier.citationEden, 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.2007.11.035en_US
dc.identifier.doi10.1016/j.chaos.2007.11.035
dc.identifier.endpage697
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.issue2
dc.identifier.scopus2-s2.0-67349230622
dc.identifier.scopusqualityQ1
dc.identifier.startpage688
dc.identifier.urihttps://hdl.handle.net/11729/324
dc.identifier.urihttp://dx.doi.org/10.1016/j.chaos.2007.11.035
dc.identifier.volume41
dc.identifier.wosWOS:000267379700016
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorErbay, Saadeten_US
dc.institutionauthorid0000-0002-6080-4591
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos, Solitons and Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject2 spatial dimensionsen_US
dc.subjectEvolution equationsen_US
dc.subjectCouple-stressesen_US
dc.subjectPacketsen_US
dc.subjectWavesen_US
dc.subjectChoice of parametersen_US
dc.subjectComplex amplitudeen_US
dc.subjectDinger equationen_US
dc.subjectElastic mediumen_US
dc.subjectIntegral representationen_US
dc.subjectLinear wave equationen_US
dc.subjectLocalized solutionsen_US
dc.subjectLong wavesen_US
dc.subjectNLS equationsen_US
dc.subjectNonlinear equationsen_US
dc.subjectNonlinear Schrödinger equationen_US
dc.subjectNonlocalen_US
dc.subjectSchrödinger equationen_US
dc.subjectSemilinear waveen_US
dc.subjectShort wavesen_US
dc.subjectSpatial coordinatesen_US
dc.subjectSubmarine geophysicsen_US
dc.subjectWave equationsen_US
dc.subjectIntegral equationsen_US
dc.subjectDavey stewartsonen_US
dc.titleReducing a generalized Davey-Stewartson system to a non-local nonlinear Schrodinger equationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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