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.
| Original language | English |
|---|---|
| Pages (from-to) | 56-65 |
| Number of pages | 10 |
| Journal | Turkish World Mathematical Society Journal of Applied and Engineering Mathematics |
| Volume | 11 |
| Issue number | 1 |
| Publication status | Published - 2021 |
Bibliographical note
Publisher Copyright:© Işık University, Department of Mathematics, 2021. all rights reserved.
Keywords
- Dissipative Kundu-Eckhaus equation
- Rogue waves
- Split-step Fourier scheme