Soliton solutions for a two-component generalized Sasa-Satsuma equation

Abstract

Abstract As is well known, the Sasa-Satsuma equation is an important integrable high order nonlinear Schrödinger equation. In this paper, a two-component generalized Sasa-Satsuma (gSS) equation is investigated. We construct the n-fold Darboux transformation for the two-component gSS equation. Based on the Darboux transformation, we obtain some interesting solutions, such as a breather soliton solution, kink solution, anti-soliton solution and a periodic-like solution.