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A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics

dc.contributor.authorBayındır, Cihanen_US
dc.contributor.authorYurtbak, Hazalen_US
dc.date.accessioned2024-07-18T08:47:23Z
dc.date.available2024-07-18T08:47:23Z
dc.date.issued2021-01
dc.identifier.citationBayındır, C. & Yurtbak, H. (2021). A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics. TWMS Journal of Applied and Engineering Mathematics, 11(1), 56-65.en_US
dc.identifier.issn2146-1147
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/archive/110-vol11-no1/663
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6044
dc.description.abstractWe investigate the rogue wave dynamics of the dissipative Kundu-Eckhaus equation. With this motivation, we propose a split-step Fourier scheme for its numerical solution. After testing the accuracy and stability of the scheme using an analytical solution as a benchmark problem, we analyze the chaotic wave fields generated by the modulation instability within the frame of the dissipative Kundu-Eckhaus equation. We discuss the effects of various parameters on rogue wave formation probability and we also discuss the role of dissipation on occurrences of such waves.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.subjectDissipative Kundu-Eckhaus equationen_US
dc.subjectSplit-step Fourier schemeen_US
dc.subjectRogue wavesen_US
dc.subjectModulation instabilityen_US
dc.subjectNumerical aspectsen_US
dc.subjectTrainsen_US
dc.titleA split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamicsen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.departmentIşık Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering, Department of Civil Engineeringen_US
dc.authorid0000-0003-4029-1466
dc.identifier.volume11
dc.identifier.issue1
dc.identifier.startpage56
dc.identifier.endpage65
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.institutionauthorYurtbak, Hazalen_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:000605091900006


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