Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation

2021/06/21 by Zhou, H. J., Chen, Y. · 1 citation
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2106.11157

Abstract

In the present investigation, the solutions on the periodic and double-periodic background are successfully constructed by Darboux transformation using a plane wave seed solution. Firstly, the Darboux transformation for the reverse-space-time DNLS equation is constructed. Secondly, periodic solutions, breathers, double-periodic solutions, breathers on the periodic background and double-periodic background are studied. Thirdly, the higher-order rogue waves on the periodic and double-periodic background are constructed by semi-degenerate Darboux transformations. In addition, the dynamic behaviors of the solutions are plotted to show some interesting new solution structures.

Cited by

• Exact solutions of the reverse space-time higher-order modified self-steepening nonlinear Schrödinger equation

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