Weakly Disordered Nonlinear Schroedinger Equation

By using a perturbational approach, we analyze the evolution of solitary waves in a nonlocal medium in the presence of perturbative disorder. An increasing degree of nonlocality may largely hamper the Brownian motion of self-trapped wave-packets. The result is valid for any kind of nonlocality and in the presence of non-paraxial effects. We compare the analytical predictions with numerical simulations based on stochastic partial differential equations.