Darboux transformation and soliton solutions of the coupled generalized Sasa-Satsuma equation

In this paper, we construct the Darboux transformation of the coupled generalized Sasa-Satsuma equation using the gauge transformation between Lax pairs and obtain abundant exact solutions. This method allows obtaining many solutions by iteration, and getting the expression for the N-fold soliton solution directly. By choosing the proper parameters, some attractive solutions, including hump-type and breather-type soliton solutions, are explicitly obtained and graphically illustrated.