Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited

In this paper, we confirm the conjecture of Wang and Zhang (J. Stat. Phys. 134 (5-6): 953–968, 2009) in a long time scale, i.e., the displacement of the wavefront for $1D$ nonlinear random Schroedinger equation is of logarithmic order in time $\mathrm{\mid }t\mathrm{\mid }$.