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dc.contributor.authorDemirkuş, Dileken_US
dc.date.accessioned2021-04-06T12:21:41Z
dc.date.available2021-04-06T12:21:41Z
dc.date.issued2021
dc.identifier.citationDemirkuş, D. (2021). Nonlinear dark solitary SH waves in a heterogeneous layer. TWMS Journal of Applied and Engineering Mathematics, 11(2), 386-394.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3116
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/111-vol11-no2/697
dc.description.abstractIn this study, we consider the nonlinear propagation of shear horizontal (SH) waves in a layer of finite thickness. The materials of the layer are assumed to be heterogeneous, isotropic, and generalized neo-Hookean. We assume that heterogeneity varies only with the thickness and we choose hyperbolic functions for heterogeneity type. We also assume that the traction is free on the upper surface of the layer. Furthermore, the lower boundary is rigidly fixed. Using a perturbation method and keeping the balance of the nonlinearity and the dispersion in the analysis, we show that the self-modulation of nonlinear SH waves can be given by the nonlinear Schr¨odinger (NLS) equation. Using well known solutions of NLS equation, we find that the dark solitary SH waves can exist depending on the nonlinear constitution of the layer. Consequently, the effects of the heterogeneity and the nonlinearity on the deformation field are considered for these waves.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectNonlinear SH wavesen_US
dc.subjectDark solitary wavesen_US
dc.subjectRigid substratumen_US
dc.subjectHeterogeneityen_US
dc.titleNonlinear dark solitary SH waves in a heterogeneous layeren_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume11
dc.identifier.issue2
dc.identifier.startpage386
dc.identifier.endpage394
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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