Mathematical and Statistical Sciences Faculty Publications and Presentations

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

Publication Title

Physica D: Nonlinear Phenomena

DOI

10.1016/j.physd.2022.133332

Included in

Mathematics Commons

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