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Propagation of nonlinear waves in disordered media

B. Spivak·A. Zyuzin
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Abstract

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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B. Spivak, A. Zyuzin. 2003-09-28. Propagation of nonlinear waves in disordered media. https://doi.org/10.1364/josab.21.000177

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