Soliton solutions of the Sasa-Satsuma equation in the monomode optical fibers including the beta-derivatives

The main goal of the present paper is to steer an investigation on the dynamics of soliton solutions of a nonlinear model in the monomode optical fibers. In this respect, first, soliton solutions of the model termed as the Sasa-Satsuma (SS) equation describing the propagation of short light pulses are derived in the presence of the beta-derivatives; then, the dynamics of soliton solutions in the monomode optical fibers is analyzed for different values of the parameter beta. The soliton solutions presented in this study are categorized in the most common classes of solitons namely bright and dark soliton solutions.