Higher-order soliton solutions for the Sasa–Satsuma equation revisited via $$\bar{\partial }$$ method

Abstract

In optics, the Sasa–Satsuma equation can be used to model ultrashort optical pulses. In this paper higher-order soliton solutions for the Sasa–Satsuma equation with zero boundary condition at infinity are analyzed by \(\bar{\partial }\) method. The explicit determinant form of a soliton solution which corresponds to a single \(p_{l}\)-th order pole is given. Besides the interaction related to one simple pole and the other one double pole is considered.