Propagation of nonlinear waves in disordered media

Details Propagation of nonlinear waves in disordered media Propagation of nonlinear waves in disordered media

2003-04-29

arxiv.org/abs/cond-mat/0304673v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1364/JOSAB.21.000177

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

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