paper

Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited

arXiv:2006.04332 · doi:10.1007/s10955-020-02677-y

Abstract

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 nonlinear random Schroedinger equation is of logarithmic order in time .

A revised version, to appear in J. Stat. Phys

Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited · wovepaper