Darboux Transformation and Soliton Solution of the Nonlocal Generalized Sasa–Satsuma Equation

This paper aims to seek soliton solutions for the nonlocal generalized Sasa–Satsuma (gSS) equation by constructing Darboux transformation (DT). We obtain gSS equation, including double-periodic wave, breather-like, KM-breather solution, dark-soliton, W-shaped soliton, M-shaped periodic double-peak dark-breather, bright-breather, and breather solutions. Furthermore, interaction of these solitons, as well their dynamical properties asymptotic analysis, are analyzed. It will be shown that can reduced into those equation. However, several not found in literature.