Nearby in the stack

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

2106.11157Jun 21, 202114 pages, 10 figtures

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

H. J. Zhou, Y. Chen

Exactly Solvable and Integrable Systems

arXiv PDF

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.

Briefing

What this paper is actually doing

This is a heuristic sketch from the abstract. Sign in for a live briefing.

GraduateNovelty 3/5

Researchers working in nlin.SI and adjacent areas.

Claims

The paper addresses: Breathers and rogue waves on the double-periodic background for the reverse-space-time derivative nonlinear Schrödinger equation.
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.