On the problem of dynamical localization in the nonlinear Schrodinger equation with a random potential

被引：26
|
作者：
Fishman, Shmuel [1 ]
Krivolapov, Yevgeny [1 ]
Soffer, Avy [2 ,3 ]
机构：
[1] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel
[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA
[3] Weizmann Inst Sci, Dept Math, IL-76100 Rehovot, Israel
来源：
JOURNAL OF STATISTICAL PHYSICS | 2008年 / 131卷 / 05期
基金：
美国国家科学基金会; 以色列科学基金会;
关键词：
Anderson localization; NLSE; random potential; nonlinear Schrodinger; dynamical localization;
D O I：
10.1007/s10955-007-9472-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove a dynamical localization in the nonlinear Schrodinger equation with a random potential for times of the order of O(beta(-2))' where beta is the strength of the nonlinearity.
引用
收藏
页码：843 / 865
页数：23
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