<p>In this study, a new class of optical solutions to the stochastic Schrödinger–Hirota equation are derived, incorporating spatio-temporal dispersion, higher-order nonlinear effects, and the Kerr law. Using the Kudryashov auxiliary equation technique and the modified simplest equation algorithm, different classes of soliton solutions are constructed, including bright, dark, kink-shaped, multi-W-shaped, and wave solitons. The dynamic evolution of these solutions is studied under the impact of temporal variations and multiplicative white noise. The results, illustrated through three-dimensional plots, two-dimensional profiles, and contour representations, reveal how stochastic perturbations affect soliton amplitude, stability, and propagation characteristics. The integration of white noise into the analytical framework allows for a deeper understanding of nonlinear optical dynamics and enhances the realism of the model. Furthermore, the study offers valuable insights for minimizing signal distortion and improving the reliability of optical fiber communication systems influenced by random fluctuations.</p>