This study investigates the stochastic nonlinear Schrödinger equation (SNLSE) with spatial noise intensity. Exact solutions, including trigonometric, rational, hyperbolic, periodic, dark, kink, anti-kink, and exponential forms, are achieved by utilizing the logarithmic transformation, the \((\frac{G'}{G},\frac{1}{G})\) –expansion method, and the generalized Kudryashov method (gKM). These solutions are important for applications in nonlinear optical fibers, signal processing, communication, and engineering sciences. The effects of multiplicative noise on these solutions are analyzed through 3D, and contour visualizations by utilizing Mathematica 11. Moreover, the nonlinear dynamics of the system are analyzed by using phase portraits within bifurcation theory, describing chaotic behavior induced by external forces. Chaotic trajectories are further identified using 2D and 3D plots, time series analysis, and Lyapunov exponents. The model’s sensitivity under varying initial conditions is also examined.
