Two-dimensional wave packets in an elastic solid with couple stresses

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dc.authorid0000-0001-7677-1096
dc.authorid0000-0002-6080-4591
dc.contributor.authorBabaoğlu, Cenien_US
dc.contributor.authorErbay, Saadeten_US
dc.date.accessioned2015-01-15T23:00:08Z
dc.date.available2015-01-15T23:00:08Z
dc.date.issued2004-08
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractThe problem of (2+1) (two spatial and one temporal) dimensional wave propagation in a bulk medium composed of an elastic material with couple stresses is considered. The aim is to derive (2+1) non-linear model equations for the description of elastic waves in the far field. Using a multi-scale expansion of quasi-monochromatic wave solutions, it is shown that the modulation of waves is governed by a system of three non-linear evolution equations. These equations involve amplitudes of a short transverse wave, a long transverse wave and a long longitudinal wave, and will be called the "generalized Davey Stewartson equations". Under some restrictions on parameter values, the generalized Davey-Stewartson equations reduce to the Davey-Stewartson and to the non-linear Schrodinger equations. Finally, some special solutions involving sech-tanh-tanh and tanh-tanh-tanh type solitary wave solutions are presented.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBabaoğlu, C. & Erbay, S. (2004). Two-dimensional wave packets in an elastic solid with couple stresses. International Journal of Non-Linear Mechanics, 39(6), 941-949. doi:10.1016/S0020-7462(03)00076-3en_US
dc.identifier.doi10.1016/S0020-7462(03)00076-3
dc.identifier.endpage949
dc.identifier.issn0020-7462
dc.identifier.issn1878-5638
dc.identifier.issue6
dc.identifier.scopus2-s2.0-0345306161
dc.identifier.scopusqualityQ1
dc.identifier.startpage941
dc.identifier.urihttps://hdl.handle.net/11729/151
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7462(03)00076-3
dc.identifier.volume39
dc.identifier.wosWOS:000188544500006
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.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofInternational Journal of Non-Linear Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectModulationen_US
dc.subjectMediaen_US
dc.subjectNon-linear elastic wave propagationen_US
dc.subjectGeneralized Davey-Stewartson equationsen_US
dc.subjectNonlinear Schrödinger equationen_US
dc.subjectSchrödinger equationen_US
dc.subjectSemilinear waveen_US
dc.subjectElasticityen_US
dc.subjectFunctionsen_US
dc.subjectMathematical modelsen_US
dc.subjectNonlinear equationsen_US
dc.subjectPolycrystalline materialsen_US
dc.subjectStressesen_US
dc.subjectWave equationsen_US
dc.subjectWave propagationen_US
dc.subjectElastic wave propagationen_US
dc.subjectGeneralized Davey-Stewartson (GDS) equationsen_US
dc.subjectElastic wavesen_US
dc.titleTwo-dimensional wave packets in an elastic solid with couple stressesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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