dc.contributor.author | Bayındır, Cihan | en_US |
dc.contributor.author | Yurtbak, Hazal | en_US |
dc.date.accessioned | 2024-07-18T08:47:23Z | |
dc.date.available | 2024-07-18T08:47:23Z | |
dc.date.issued | 2021-01 | |
dc.identifier.citation | Bayındır, 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.issn | 2146-1147 | |
dc.identifier.uri | https://jaem.isikun.edu.tr/web/index.php/archive/110-vol11-no1/663 | |
dc.identifier.uri | http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6044 | |
dc.description.abstract | We 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.iso | eng | en_US |
dc.publisher | Işık University Press | en_US |
dc.relation.ispartof | TWMS Journal of Applied and Engineering Mathematics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
dc.subject | Dissipative Kundu-Eckhaus equation | en_US |
dc.subject | Split-step Fourier scheme | en_US |
dc.subject | Rogue waves | en_US |
dc.subject | Modulation instability | en_US |
dc.subject | Numerical aspects | en_US |
dc.subject | Trains | en_US |
dc.title | A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.department | Işık Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümü | en_US |
dc.department | Işık University, Faculty of Engineering, Department of Civil Engineering | en_US |
dc.authorid | 0000-0003-4029-1466 | |
dc.identifier.volume | 11 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 56 | |
dc.identifier.endpage | 65 | |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.institutionauthor | Yurtbak, Hazal | en_US |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Emerging Sources Citation Index (ESCI) | en_US |
dc.identifier.wosquality | N/A | en_US |
dc.identifier.wos | WOS:000605091900006 | |