Random walk of solitary and shock waves in nonlocal disordered media

We study the random walk of solitons and characteristic lines of shock fronts in the presence of disorder for the one-dimensional nonlinear Schrödinger equation in Kerr-like media. We analyze the interplay of nonlocality and randomness, and the way their competition affects strongly coherent nonlinear waves is theoretically and numerically investigated. © IOP Publishing and Deutsche Physikalische Gesellschaft