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

Fishman S; Krivolapov Y; Soffer A

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

机译：关于具有随机势的非线性薛定inger方程的动力学局部化问题

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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.

机译：我们证明了非线性Schrodinger方程的动态局部性，其随机势的时间为O（beta（-2））'的时间，其中beta是非线性的强度。

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《Journal of Statistical Physics》 |2008年第5期|共23页
作者
Fishman S; Krivolapov Y; Soffer A;
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正文语种 eng
中图分类热力学与统计物理学;
关键词
Anderson localization; NLSE; random potential; nonlinear Schrodinger; dynamical localization; DIMENSIONAL HAMILTONIAN-SYSTEMS; PARTIAL DIFFERENCE-EQUATIONS; PERIODIC RANDOM SCHRODINGER; BOSE-EINSTEIN CONDENSATION; ANDERSON LOCALIZATION; LARGE DISORDER; OPERATORS; DIFFUSION; TRANSPORT; ABSENCE;

机译：安德森定位;NLSE;随机势;非线性薛定inger;动态定位;维哈密顿体系;局部差分方程;周期随机Schrodinger;玻色-爱因斯坦凝聚;安德森局部化;大扰动;扩散;扩散;

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专利

1. On the problem of dynamical localization in the nonlinear Schrodinger equation with a random potential [J] . Fishman S, Krivolapov Y, Soffer A Journal of Statistical Physics . 2008,第5期

机译：关于具有随机势的非线性薛定inger方程的动力学局部化问题
2. Localized Spatial Soliton Excitations in (2 + 1)-Dimensional Nonlinear Schrodinger Equation with Variable Nonlinearity and an External Potential [J] . ZHONG Wei-Ping, Milivoj R. Belic, HUANG Ting-Wen Communications in Theoretical Physics . 2012,第1期

机译：具有可变非线性和外部势的（2 +1）维非线性Schrodinger方程中的局部空间孤子激励
3. On the Problem of Dynamical Localization in the Nonlinear Schrödinger Equation with a Random Potential [J] . Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer Journal of Statistical Physics . 2008,第5期

机译：关于带有随机势的非线性薛定ding方程的动力局部化问题
4. Nonlinear Schrodinger equation with combined power-type nonlinearities and harmonic potential [C] . Xiaoli Jiang, Xuemei Wang, Runzhang Xu International Conference on Multimedia Technology . 2011

机译：具有型功率型非线性和谐波潜力的非线性Schrodinger方程
5. Asymptotic dynamics of trapped solitons of nonlinear Schrodinger equations with potentials. [D] . Zhou, Gang. 2007

机译：带电势的非线性薛定inger方程的孤立孤子的渐近动力学。
6. Solitonic dynamics and excitations of the nonlinear Schrödinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials [O] . Yong Chen, Zhenya Yan -1

机译：非Hermitian PT对称势中具有三阶色散的非线性Schrödinger方程的孤子动力学和激发
7. Solitonic dynamics and excitations of the nonlinear Schrodinger equation with third-order dispersion in non-Hermitian PT-symmetric potentials [O] . Chen, Yong, Yan, Zhenya 2017

机译：非线性薛定谔方程的孤子动力学和激发在非厄米特pT对称势中具有三阶色散
8. COMPUTER SIMULATION OF DYNAMICS OF STKONG-NONLINEAR PHENOMENA DESCRIBED BY THE SCHRODINGER EQUATION WITH THE SELFCONSISTENT POTENTIAL [R] . V. G. Makhankov, I. L. Bogolubsky, Kh. O. Abdulloev 1974

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

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