A higher-order model for transverse waves in a generalized elastic solid

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dc.authorid0000-0001-7076-2172
dc.authorid0000-0002-6080-4591
dc.contributor.authorHacınlıyan, Avadis Simonen_US
dc.contributor.authorErbay, Saadeten_US
dc.date.accessioned2015-01-15T22:59:44Z
dc.date.available2015-01-15T22:59:44Z
dc.date.issued2002-11
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, the nonlinear modulation of transverse waves propagating in a generalized elastic solid is studied using a multi-scale expansion of quasi-monochromatic wave solutions. In particular, to include the higher-order nonlinear and dispersive effects in the evolution equations, higher-order perturbation equations are considered, and it is shown that the modulation of two transverse waves is governed by a pair of the coupled higher-order nonlinear Schrodinger (HONLS) equations. In the absence of one of the transverse waves, the coupled HONLS equations reduce to the single HONLS equation that has already been obtained in the context of nonlinear optics. Some special solutions to the coupled HONLS equations are also presented.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationHacinliyan, A. S., & Erbay, S. (2002). A higher-order model for transverse waves in a generalized elastic solid. Chaos, Solitons and Fractals, 14(8), 1127-1135. doi:10.1016/S0960-0779(02)00057-7en_US
dc.identifier.doi10.1016/S0960-0779(02)00057-7
dc.identifier.endpage1135
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.issue8
dc.identifier.scopus2-s2.0-0036833075
dc.identifier.scopusqualityQ1
dc.identifier.startpage1127
dc.identifier.urihttps://hdl.handle.net/11729/108
dc.identifier.urihttp://dx.doi.org/10.1016/S0960-0779(02)00057-7
dc.identifier.volume14
dc.identifier.wosWOS:000178133800001
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 Scienceen_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.subjectNonlinear schrodinger-equationsen_US
dc.subjectMediaen_US
dc.subjectContinuum mechanicsen_US
dc.subjectModulationen_US
dc.subjectNonlinear equationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectWave propagationen_US
dc.subjectTransverse wavesen_US
dc.subjectElastic wavesen_US
dc.titleA higher-order model for transverse waves in a generalized elastic soliden_US
dc.typeArticleen_US
dspace.entity.typePublication

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