On complex soliton solutions, complex elliptic solutions and complex rational function solutions for the Sasa-Satsuma model equation with variable coefficients

Abstract

In this paper, we use the unified method to research the variable coefficients Sasa-Satsuma model equation, which describes the nonlinear phenomenon of pulse propagation in optical fiber communication. Optical soliton, elliptic function, rogue waves, bright and dark soliton solutions of Sasa-Satsuma equation have been obtained to study nonlinear phenomena in related fields. With the aid of symbolic calculation, the exact solutions that complex soliton solutions, complex elliptic solutions and complex rational function solutions of the equation are needed to deal with more related phenomena. Later on, two-dimensional and three-dimensional graphics plots of the resulting solutions are made using Maple, and we discuss the symmetric soliton wave, periodic wave and kinky symmetric periodic wave formed by distinct solutions.