Shmuel Fishman, Alexander Iomin, Kirone Mallick
Published 2008-07-31Version 1
The mapping of the Nonlinear Schroedinger Equation with a random potential on the Fokker-Planck equation is used to calculate the localization length of its stationary states. The asymptotic growth rates of the moments of the wave function and its derivative for the linear Schroedinger Equation in a random potential are computed analytically and resummation is used to obtain the corresponding growth rate for the nonlinear Schroedinger equation and the localization length of the stationary states.
Dynamics of wave packets for the nonlinear Schroedinger equation with a random potential
Subdiffusion in the Nonlinear Schroedinger Equation with Disorder
Nonlinear Schroedinger Equation in the Presence of Uniform Acceleration
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