Abstract
We perform the self-similar transformation of the (2 + 1)-dimensional nonlinear Zakharov system, and simplify it to the standard (1 + 1)-dimensional Schrodinger equation. Then, based on this self-similar transformation and the known rogue wave solutions of the nonlinear Schrodinger equation, we find new rogue wave solutions of the nonlinear Zakharov system. By selecting appropriate parameters, the spatiotemporal profiles of rogue wave intensity in the (2 + 1)-dimensional nonlinear system are obtained, and novel rogue wave structures are found, whose patterns can be fully controlled. The method for solution of the (2 + 1)-dimensional nonlinear Zakharov system considered can be used as an effective way for treatment of other systems, to obtain higher-dimensional rogue wave solutions, and thereby further the applications of other (2 + 1)-dimensional nonlinear systems.
Original language | English |
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Pages (from-to) | 6621-6628 |
Number of pages | 8 |
Journal | Nonlinear Dynamics |
Volume | 111 |
Issue number | 7 |
DOIs | |
Publication status | Published - Apr 2023 |
Externally published | Yes |
Keywords
- Nonlinear optics
- Rogue waves
- The (2+1)-dimensional nonlinear Zakharov system