On travelling wave solutions of a generalized Davey-Stewartson system

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dc.authorid0000-0002-6080-4591
dc.contributor.authorEden, Osman Alpen_US
dc.contributor.authorErbay, Saadeten_US
dc.date.accessioned2015-01-15T23:00:20Z
dc.date.available2015-01-15T23:00:20Z
dc.date.issued2005-02
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractThe generalized Davey-Stewartson (GDS) equations, as derived by Babaoglu & Erbay (2004, Int. J. Non-Linear Mech., 39, 941-949), is a system of three coupled equations in (2 + 1) dimensions modelling wave propagation in an infinite elastic medium. The physical parameters (gamma, m(1), m(2), lambda and n) of the system allow one to classify the equations as elliptic-elliptic-elliptic (EEE), elliptic-elliptic-hyperbolic (EEH), elliptic-hyperbolic-hyperbolic (EHH), hyperbolic-elliptic-elliptic (HEE), hyperbolic-hyperbolic-hyperbolic (HHH) and hyperbolic-elliptic-hyperbolic (HEH) (Babaoglu et al., 2004, preprint). In this note, we only consider the EEE and HEE cases and seek travelling wave solutions to GDS systems. By deriving Pohozaev-type identities we establish some necessary conditions on the parameters for the existence of travelling waves, when solutions satisfy some integrability conditions. Using the explicit solutions given in Babaoglu & Erbay (2004) we also show that the parameter constraints must be weaker in the absence of such integrability conditions.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationEden, A. & Erbay, S. (2005; 2004). On travelling wave solutions of a generalized davey-stewartson system. IMA Journal of Applied Mathematics (Institute of Mathematics and its Applications), 70(1), 15-24. doi:10.1093/imamat/hxh050en_US
dc.identifier.doi10.1093/imamat/hxh050
dc.identifier.endpage24
dc.identifier.issn0272-4960
dc.identifier.issue1
dc.identifier.scopus2-s2.0-14044267504
dc.identifier.scopusqualityQ3
dc.identifier.startpage15
dc.identifier.urihttps://hdl.handle.net/11729/187
dc.identifier.urihttp://dx.doi.org/10.1093/imamat/hxh050
dc.identifier.volume70
dc.identifier.wosWOS:000226983100003
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.indekslendigikaynakConference Proceedings Citation Index – Science (CPCI-S)en_US
dc.institutionauthorErbay, Saadeten_US
dc.institutionauthorid0000-0002-6080-4591
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherOxford Univ Pressen_US
dc.relation.ispartofIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPacketsen_US
dc.subjectEquationen_US
dc.subjectSolitonen_US
dc.subjectDavey-Stewartson equationsen_US
dc.subjectNonlinear Schrodinger equationen_US
dc.subjectPohozaev identityen_US
dc.subjectRadial solutionsen_US
dc.subjectTravelling waveen_US
dc.subjectIntegral equationsen_US
dc.subjectMathematical modelsen_US
dc.subjectNonlinear equationsen_US
dc.subjectWave propagationen_US
dc.subjectElasticityen_US
dc.titleOn travelling wave solutions of a generalized Davey-Stewartson systemen_US
dc.typeArticleen_US
dspace.entity.typePublication

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