General rogue wave solutions to the discrete nonlinear Schrödinger equation

Authors

Yasuhiro Ohta
Bao-Feng Feng, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

11-2022

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.

Comments

v.1. Original published version available at https://doi.org/10.1016/j.physd.2022.133400

Recommended Citation

Ohta, Yasuhiro, and Bao-Feng Feng. "General rogue wave solutions to the discrete nonlinear Schrödinger equation." arXiv preprint arXiv:2201.02359 (2022).

Publication Title

Physica D: Nonlinear Phenomena

DOI

10.1016/j.physd.2022.133400