General breather and rogue wave solutions to the complex short pulse equation

Authors

Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow
Ruyun Ma
Yujuan Zhang

Document Type

Article

Publication Date

11-2022

Abstract

In the present paper, we attempt to construct both the breather and rogue wave solutions to the focusing complex short pulse (fCSP) equation via the KP–Toda reduction method. Following a procedure of reducing the bilinear equations satisfied by tau functions of Kadomtsev–Petviashvili (KP)–Toda hierarchy to the ones of the fCSP equation with nonzero boundary condition, we first deduce the general breather solution of the fCSP equation starting from a specially arranged tau-function of the KP–Toda hierarchy, then we construct and prove the Nth order rogue wave solutions of the fCSP equation and express them in two different but equivalent forms of determinants. The dynamical behaviors of both the breather and rogue wave solutions are illustrated and analyzed.

Comments

Original published version available at https://doi.org/10.1016/j.physd.2022.133360

Recommended Citation

Feng, Bao-Feng, Ruyun Ma, and Yujuan Zhang. "General breather and rogue wave solutions to the complex short pulse equation." Physica D: Nonlinear Phenomena 439 (2022): 133360. https://doi.org/10.1016/j.physd.2022.133360

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Publication Title

Physica D: Nonlinear Phenomena

DOI

10.1016/j.physd.2022.133360