Global existence and nonexistence results for a generalized Davey-Stewartson system

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dc.authorid0000-0001-7677-1096
dc.authorid0000-0002-6080-4591
dc.contributor.authorBabaoğlu, Cenien_US
dc.contributor.authorEden, Osman Alpen_US
dc.contributor.authorErbay, Saadeten_US
dc.date.accessioned2015-01-15T23:00:06Z
dc.date.available2015-01-15T23:00:06Z
dc.date.issued2004-12-03
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractWe consider a system of three equations, which will be called generalized Davey-Stewartson equations, involving three coupled equations, two for the long waves and one for the short wave propagating in an infinite elastic medium. We classify the system according to the signs of the parameters. Conserved quantities related to mass, momentum and energy are derived as well as a specific instance of the so-called virial theorem. Using these conservation laws and the virial theorem both global existence and nonexistence results are established under different constraints on the parameters in the elliptic-elliptic-elliptic case.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBabaoğlu, C., Eden, A. & Erbay, S. (2004). Global existence and nonexistence results for a generalized Davey–Stewartson system. Journal of Physics A: Mathematical and General, 37(48), 11531-11546. doi:10.1088/0305-4470/37/48/002en_US
dc.identifier.doi10.1088/0305-4470/37/48/002
dc.identifier.endpage11546
dc.identifier.issn0305-4470
dc.identifier.issue48
dc.identifier.scopus2-s2.0-10844229183
dc.identifier.scopusqualityN/A
dc.identifier.startpage11531
dc.identifier.urihttps://hdl.handle.net/11729/141
dc.identifier.urihttp://dx.doi.org/10.1088/0305-4470/37/48/002
dc.identifier.volume37
dc.identifier.wosWOS:000225923900003
dc.identifier.wosqualityQ2
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.publisherIOP Publishingen_US
dc.relation.ispartofJournal of Physics A: Mathematical and Generalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSchrodinger-equationsen_US
dc.subjectCouple-stressesen_US
dc.subjectWave-packetsen_US
dc.subjectSurfaceen_US
dc.subjectMotionen_US
dc.titleGlobal existence and nonexistence results for a generalized Davey-Stewartson systemen_US
dc.typeArticleen_US
dspace.entity.typePublication

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