General rogue wave solutions to the discrete nonlinear Schrödinger equation
arXiv:2201.02359 · doi:10.1016/j.physd.2022.133400
Abstract
In the present paper, we attempt to construct both the general rogue wave solutions to the fully discrete nonlinear Schrödinger (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.
arXiv comment16 pages, 4 figures
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