Optical solitary solutions for the stochastic Sasa–Satsuma equation

Abstract

The stochastic Sasa–Satsuma equation (SSSE) in the Stratonovich sense is considered here. To produce new elliptic, rational, hyperbolic, and trigonometric stochastic solutions, the modified mapping approach is applied. Due to the fact that the Sasa–Satsuma equation is utilized to explain the propagation of femtosecond pulses in optical fibers, the acquired solutions can be used to describe a wide variety of important physical phenomena. To show how multiplicative noise impacts the analytical solutions of the SSSE, we present a variety of 2D and 3D graphs. We show the stabilization of SSSE solutions by multiplicative noise at zero.