A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics
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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.
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.
SourceTWMS Journal of Applied and Engineering Mathematics
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