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arXiv · 2201.02359

General rogue wave solutions to the discrete nonlinear Schr\"odinger equation

Yasuhiro Ohta·Bao-Feng Feng
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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.

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Yasuhiro Ohta, Bao-Feng Feng. 2022-01-07. General rogue wave solutions to the discrete nonlinear Schr\"odinger equation. https://doi.org/10.1016/j.physd.2022.133400

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