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dc.contributor.authorBayındır, Cihanen_US
dc.date.accessioned2020-11-11T07:01:46Z
dc.date.available2020-11-11T07:01:46Z
dc.date.issued2020-01-23
dc.identifier.citationBayındır, C. (2020). A tomographic approach for the early detection of 2D rogue waves. TWMS Journal Of Applied And Engineering Mathematics, 10(3), 638-649.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2849
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/106-vol10no3/555
dc.description.abstractIn this paper we propose an efficient tomographic approach for the early detection of 2D rogue waves. The method relies on the principle of detecting conical spectral features before rogue wave becomes evident in time. More specifically, the proposed method is based on constructing the 1D Radon transforms of the emerging conical 2D spectra of the wavefield using compressive sampling (CS) and then constructing 2D spectra from those projections using filtered back projection (FBP) algorithm. For the 2D rogue wave models we use the radially symmetric Peregrine soliton and Akhmediev Peregrine soliton solutions of the nonlinear Schrödinger equation, which can model characteristics of the peaked structure of 2D rogue waves and their conical spectra which may be treated as a sparse signal. We show that emerging conical spectra of 2D rogue waves before they become evident in time can be acquired efficiently by the proposed method.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.subject2D rogue wavesen_US
dc.subjectEarly detectionen_US
dc.subjectTomographyen_US
dc.subjectCompressive sensingen_US
dc.subjectHirota methoden_US
dc.subjectBreathersen_US
dc.subjectSoliton solutionen_US
dc.titleA tomographic approach for the early detection of 2D rogue wavesen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume10
dc.identifier.issue3
dc.identifier.startpage638
dc.identifier.endpage649
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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