Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited

Hongzi Cong, Yunfeng Shi, Zhifei Zhang

Published 2020-06-08Version 1

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 Schrodinger equation is of logarithmic order in time $|t|$.