The nonlinear Schroedinger equation in the presence of disorder is considered. The dynamics of an initially localized wave packet is studied. A subdiffusive spreading of the wave packet is explained in the framework of a continuous time random walk. A probabilistic description of subdiffusion is suggested and a transport exponent of subdiffusion is obtained to be 2/5.
Dynamics of wave packets for the nonlinear Schroedinger equation with a random potential
Asymptotic localization of stationary states in the nonlinear Schroedinger equation
From Quenched Disorder to Continuous Time Random Walk
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