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Harmonic resonance phenomena on nonlinear SH waves

dc.contributor.authorAhmetolan, Semraen_US
dc.contributor.authorÖzdemir, Neşeen_US
dc.contributor.authorPeker Dobie, Ayşeen_US
dc.contributor.authorDemirci, Alien_US
dc.date.accessioned2024-07-18T13:10:53Z
dc.date.available2024-07-18T13:10:53Z
dc.date.issued2023-04
dc.identifier.citationAhmetolan, S., Özdemir, N., Peker Dobie, A. & Demirci, A. (2023). Harmonic resonance phenomena on nonlinear SH waves. TWMS Journal Of Applied And Engineering Mathematics, 13(2), 409-424.en_US
dc.identifier.issn2146-1147
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/archive/119-vol13no2/977
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6052
dc.description.abstractThe interaction of shear horizontal (SH) waves in a two layered elastic medium and its mth harmonic component is studied. The dispersion relation is analysed to obtain the wave number-phase velocity pairs where the third and fifth harmonic resonance phenomena emerge. By employing an asymptotic perturbation method it is shown that the balance between the weak nonlinearity and dispersion yields a coupled nonlinear Schrödinger (CNLS) equation for the slowly varying amplitudes of the fundamental wave and its fifth harmonic component. The nonlinearity effects of the materials and the ratio of layers’ thicknesses on the linear instabilities of solutions and the existence of solitary waves are examined.en_US
dc.language.isoengen_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 elasticityen_US
dc.subjectNonlinear wavesen_US
dc.subjectSolitary wavesen_US
dc.subjectPerturbation methodsen_US
dc.subjectFinite-amplitude wavesen_US
dc.subjectModulationen_US
dc.subjectCollisionen_US
dc.subjectSolitionsen_US
dc.titleHarmonic resonance phenomena on nonlinear SH wavesen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.authorid0000-0002-9144-5691
dc.identifier.volume13
dc.identifier.issue2
dc.identifier.startpage409
dc.identifier.endpage424
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.institutionauthorÖzdemir, Neşeen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.identifier.wosqualityN/Aen_US
dc.identifier.wosWOS:000964298900002


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