Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations

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dc.authorid0000-0002-6080-4591
dc.authorid0000-0002-5167-609X
dc.authorid0000-0002-0491-9562
dc.contributor.authorBorluk, Handanen_US
dc.contributor.authorErbay, Hüsnü Ataen_US
dc.contributor.authorErbay, Saadeten_US
dc.date.accessioned2015-01-15T23:01:36Z
dc.date.available2015-01-15T23:01:36Z
dc.date.issued2010-04
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn this study, we establish the non-existence and existence results for the localized solitary waves of the two-dimensional long-wave-short-wave interaction equations. Both the non-existence and existence results are based on Pohozaev-type identities. We prove the existence of solitary waves by showing that the solitary waves are the minimizers of an associated variational problem.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBorluk, H., Erbay, H. A. & Erbay, S. (2010). Non-existence and existence of localized solitary waves for the two-dimensional long-wave–short-wave interaction equations. Applied Mathematics Letters, 23(4), 356-360. doi:10.1016/j.aml.2009.10.010en_US
dc.identifier.doi10.1016/j.aml.2009.10.010
dc.identifier.endpage360
dc.identifier.issn0893-9659
dc.identifier.issn1873-5452
dc.identifier.issue4
dc.identifier.scopus2-s2.0-77049125247
dc.identifier.scopusqualityQ1
dc.identifier.startpage356
dc.identifier.urihttps://hdl.handle.net/11729/371
dc.identifier.urihttp://dx.doi.org/10.1016/j.aml.2009.10.010
dc.identifier.volume23
dc.identifier.wosWOS:000276270300004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorBorluk, Handanen_US
dc.institutionauthorErbay, Hüsnü Ataen_US
dc.institutionauthorErbay, Saadeten_US
dc.institutionauthorid0000-0002-6080-4591
dc.institutionauthorid0000-0002-5167-609X
dc.institutionauthorid0000-0002-0491-9562
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier Ltden_US
dc.relation.ispartofApplied Mathematics Lettersen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLong-wave-short-wave interaction equationsen_US
dc.subjectNon-existence of solitary wavesen_US
dc.subjectExistence of solitary wavesen_US
dc.subjectDavey-stewartson systemen_US
dc.subjectStanding wavesen_US
dc.subjectResonanceen_US
dc.titleNon-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equationsen_US
dc.typeArticleen_US

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