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arXiv · 2006.04332

Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited

Hongzi Cong·Yunfeng Shi·Zhifei Zhang
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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 $1D$ nonlinear random Schroedinger equation is of logarithmic order in time $|t|$.

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Hongzi Cong, Yunfeng Shi, Zhifei Zhang. 2020-06-08. Long-time Anderson Localization for the Nonlinear Schrodinger Equation Revisited. https://doi.org/10.1007/s10955-020-02677-y

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