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Effective theory for the propagation of a wave packet in a disordered and nonlinear medium

Effective theory for the propagation of a wave packet in a disordered and nonlinear medium

The propagation of a wave packet in a nonlinear disordered medium exhibits interesting dynamics. Here, we present an analysis based on the nonlinear Schr\"odinger equation (Gross-Pitaevskii equation). This problem is directly connected to experiments on expanding Bose gases and to studies of transverse localization in nonlinear optical media. In a …