General rogue wave solutions to the discrete nonlinear Schr\"odinger equation
Exactly Solvable and Integrable Systems
2022-07-20 v1 Mathematical Physics
math.MP
Abstract
In the present paper, we attempt to construct both the general rogue wave solutions to the fully discrete nonlinear Schr\"odinger (fd-NLS) equation via the KP-Toda reduction method. First, we deduce the general breather solution of the fd-NLS equation starting from a pair of bilinear equations. We then derive the general rogue wave solution by taking a limit to the breather solution.
Keywords
Cite
@article{arxiv.2201.02359,
title = {General rogue wave solutions to the discrete nonlinear Schr\"odinger equation},
author = {Yasuhiro Ohta and Bao-Feng Feng},
journal= {arXiv preprint arXiv:2201.02359},
year = {2022}
}
Comments
16 pages, 4 figures