Abstract
In the present investigation, the breathers and rogue waves on the double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time derivative nonlinear Schrödinger equation is constructed. Secondly, periodic solutions, breathers, double-periodic solutions, breathers on the periodic and double-periodic background are derived by n-fold Darboux transformation. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformation. In addition, the dynamic behaviors of the solutions are plotted to show some interesting new solution structures.
| Original language | English |
|---|---|
| Pages (from-to) | 3437-3451 |
| Number of pages | 15 |
| Journal | Nonlinear Dynamics |
| Volume | 106 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2021 |
Keywords
- Breathers and rogue waves on the double-periodic background
- Darboux transformation
- Reverse-space-time derivative nonlinear Schrödinger equation
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