Rogue waves of the Kundu-Eckhaus equation in a chaotic wave field

Basit Öğe Kaydı
dc.authorid0000-0002-3654-0469
dc.contributor.authorBayındır, Cihanen_US
dc.date.accessioned2016-04-08T08:25:43Z
dc.date.available2016-04-08T08:25:43Z
dc.date.issued2016-03-01
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Civil Engineeringen_US
dc.description.abstractIn this paper we study the properties of the chaotic wave fields generated in the frame of the Kundu-Eckhaus equation (KEE). Modulation instability results in a chaotic wave field which exhibits small-scale filaments with a free propagation constant, k. The average velocity of the filaments is approximately given by the average group velocity calculated from the dispersion relation for the plane-wave solution; however, direction of propagation is controlled by the beta parameter, the constant in front of the Raman-effect term. We have also calculated the probabilities of the rogue wave occurrence for various values of propagation constant k and showed that the probability of rogue wave occurrence depends on k. Additionally, we have showed that the probability of rogue wave occurrence significantly depends on the quintic and the Raman-effect nonlinear terms of the KEE. Statistical comparisons between the KEE and the cubic nonlinear Schrodinger equation have also been presented.en_US
dc.description.versionPublisher's Versionen_US
dc.description.versionAuthor Post Printen_US
dc.identifier.citationBayındır, C. (2016). Rogue waves of the kundu-eckhaus equation in a chaotic wave field. Physical Review e, 93(3) doi:10.1103/PhysRevE.93.032201en_US
dc.identifier.doi10.1103/PhysRevE.93.032201
dc.identifier.endpage6
dc.identifier.issn2470-0045
dc.identifier.issn2470-0053
dc.identifier.issue3
dc.identifier.pmid27078338
dc.identifier.scopus2-s2.0-84960942685
dc.identifier.scopusqualityQ1
dc.identifier.startpage1
dc.identifier.urihttps://hdl.handle.net/11729/826
dc.identifier.urihttp://dx.doi.org/10.1103/PhysRevE.93.032201
dc.identifier.volume93
dc.identifier.wosWOS:000371415500003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorBayındır, Cihanen_US
dc.institutionauthorid0000-0002-3654-0469
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofPhysical Review Een_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectProbabilityen_US
dc.subjectRaman scatteringen_US
dc.subjectAverage velocityen_US
dc.subjectDispersion relationsen_US
dc.subjectFree propagationen_US
dc.subjectGroup velocitiesen_US
dc.subjectModulation instabilitiesen_US
dc.subjectPlane wave solutionsen_US
dc.subjectPropagation constanten_US
dc.subjectStatistical comparisonsen_US
dc.titleRogue waves of the Kundu-Eckhaus equation in a chaotic wave fielden_US
dc.typeArticleen_US
dspace.entity.typePublication

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