A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics
Künye
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.Özet
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.
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11Sayı
1Bağlantı
https://jaem.isikun.edu.tr/web/index.php/archive/110-vol11-no1/663http://belgelik.isikun.edu.tr/xmlui/handleiubelgelik/6044
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