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

IMA Journal of Applied Mathematics 2026

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Authors: Changyan Shi, Xiyao Chen, Guangxiong Zhang, Chengfa Wu, Bao‐Feng Feng
DOI: 10.1093/imamat/hxag010
Cited by: 1
References: 52

Abstract

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.

Fields of Study & Subjects

Nonlinear Waves and Solitons Fractional Differential Equations Solutions Nonlinear Photonic Systems

Publication details

Journal / source
IMA Journal of Applied Mathematics
Publisher
Oxford University Press (OUP)
Volume
91
Issue
2
Pages
183–209
Publication date
1 April 2026
Language
EN