Darboux transformation and solitonic solution to the coupled complex short pulse equation

Authors

Bao-Feng Feng, The University of Texas Rio Grande Valley
Liming Ling

Document Type

Article

Publication Date

9-2022

Abstract

The Darboux transformation (DT) for the coupled complex short pulse (CCSP) equation is constructed through the loop group method. The DT is then utilized to construct various exact solutions including bright soliton, dark-soliton, breather and rogue wave solutions to the CCSP equation. In case of vanishing boundary condition (VBC), we perform the inverse scattering analysis to understand the soliton solution better. Breather and rogue wave solutions are constructed in case of non-vanishing boundary condition (NVBC). Moreover, we conduct a modulational instability (MI) analysis based on the method of squared eigenfunctions, whose result confirms the condition for the existence of rogue wave solution.

Comments

Original published version available at https://doi.org/10.1016/j.physd.2022.133332

Recommended Citation

Feng, Bao-Feng, and Liming Ling. "Darboux transformation and solitonic solution to the coupled complex short pulse equation." Physica D: Nonlinear Phenomena 437 (2022): 133332. https://doi.org/10.1016/j.physd.2022.133332

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.2022.133332