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

Abstract

AbstractIn 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 $$p_{l}$$ p l -th order pole is given. Besides the interaction related to one simple pole and the other one double pole is considered.