Abundant optical solutions for the stochastic Schrödinger–Hirota equation in quantum mechanics, science and engineering

The stochastic Schrödinger–Hirota (SSH) equation perturbed by multiplicative noise is taken into consideration here. The mapping approach and the [Formula: see text]-expansion method are used to generate new elliptic, hyperbolic, rational, and trigonometric stochastic solutions. Since the SSH equation is extensively used in optical fiber, the generated solutions can be applied to explore a wide variety of significant physical phenomena. To explain the impacts of multiplicative noise, the dynamic behavior of the various solutions is illustrated using 3D and 2D graphs. We conclude that the solutions of the SSH equation are affected by and stabilized by multiplicative noise.