This study delves into the perturbed stochastic nonlinear Schr¨odinger equation in an optical coupler for metamaterials, introducing a parabolic nonlocal law for refractive index nonlinearity, eighth-order dispersion, and multiplicative white noise. An enhanced version of Kudryashov’s method, combined with the direct algebraic method, is utilized to examine stochastic effects in nonlinear optical systems. The findings reveal diverse solution types such as dark and singular solitons, Weierstrass and Jacobi doubly periodic solutions, and straddled solitons,