Propagation of nonlinear waves in disordered media

We study the propagation of stationary waves in disordered non-linear media described by the nonlinear Schr¨odinger equation and show that for given boundary conditions and a given coherent wave incident on the sample, the number of solutions of the equation increases exponentially with sample size. We also discuss the ballistic case, the sensitivity of the solutions to the change of external parameters, the similarity of this problem to the problem of spin glasses and time-dependent solutions.