JAEM 2021, Vol 11, No 1

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https://hdl.handle.net/11729/3014

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    A split-step Fourier scheme for the dissipative Kundu-Eckhaus equation and its rogue wave dynamics
    (Işık University Press, 2021-01) Bayındır, Cihan; Yurtbak, Hazal
    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.