Soliton solutions to the coupled Sasa–Satsuma equation under mixed boundary conditions

Authors

• Changyan Shi, The University of Texas Rio Grande Valley
• Xiyao Chen
• Guangxiong Zhang
• Chengfa Wu
• Bao-Feng Feng, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

4-2026

Abstract

In this paper, we derive general bright–dark soliton solutions to the coupled Sasa–Satsuma (CSS) equation using the Kadomtsev–Petviashvili reduction method. Since the CSS equation is a special case of the four-component Hirota equation, our approach begins with the construction of two-bright-two-dark soliton solutions for the four-component Hirota equation. By imposing specific parameter constraints, these solutions are subsequently reduced to the bright–dark soliton solutions of the CSS equation. Finally, the dynamical behaviours of the one- and two-bright–dark soliton solutions are thoroughly analysed and illustrated.

Comments

Original published version available at https://doi.org/10.1093/imamat/hxag010

Recommended Citation

Shi, Changyan, Xiyao Chen, Guangxiong Zhang, Chengfa Wu, and Bao-Feng Feng. "Soliton solutions to the coupled Sasa–Satsuma equation under mixed boundary conditions." IMA Journal of Applied Mathematics 91, no. 2 (2026): 183-209. https://doi.org/10.1093/imamat/hxag010

Publication Title

IMA Journal of Applied Mathematics

DOI

10.1093/imamat/hxag010