Particle dynamics in the KdV approximation

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dc.authorid0000-0002-0491-9562
dc.contributor.authorBorluk, Handanen_US
dc.contributor.authorKalisch, Henriken_US
dc.date.accessioned2015-01-15T23:02:03Z
dc.date.available2015-01-15T23:02:03Z
dc.date.issued2012-12
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractThe KdV equation arises in the framework of the Boussinesq scaling as a model equation for waves at the surface of an inviscid fluid. Encoded in the KdV model are relations that may be used to reconstruct the velocity field in the fluid below a given surface wave. In this paper, velocity fields associated to exact solutions of the KdV equation are found, and particle trajectories are computed numerically. The solutions treated here comprise the solitary wave, periodic traveling waves, and the two-soliton solutions. For solitary waves and periodic traveling waves, approximate particle paths are found in closed form.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBorluk, H. & Kalisch, H. (2012). Particle dynamics in the KdV approximation. Wave Motion, 49(8), 691-709. doi:10.1016/j.wavemoti.2012.04.007en_US
dc.identifier.doi10.1016/j.wavemoti.2012.04.007
dc.identifier.endpage709
dc.identifier.issn0165-2125
dc.identifier.issue8
dc.identifier.scopus2-s2.0-84864959887
dc.identifier.scopusqualityQ2
dc.identifier.startpage691
dc.identifier.urihttps://hdl.handle.net/11729/431
dc.identifier.urihttp://dx.doi.org/10.1016/j.wavemoti.2012.04.007
dc.identifier.volume49
dc.identifier.wosWOS:000308521900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorBorluk, Handanen_US
dc.institutionauthorid0000-0002-0491-9562
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier Science BVen_US
dc.relation.ispartofWave Motionen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSurface wavesen_US
dc.subjectBoussinesq scalingen_US
dc.subjectKdV equationen_US
dc.subjectParticle trajectoriesen_US
dc.subjectSolitary wavesen_US
dc.subjectSoliton interactionen_US
dc.subjectWater-wavesen_US
dc.subjectTrajectoriesen_US
dc.subjectAnalyticityen_US
dc.subjectVorticityen_US
dc.subjectEquationsen_US
dc.subjectDepthen_US
dc.titleParticle dynamics in the KdV approximationen_US
dc.typeArticleen_US
dspace.entity.typePublication

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