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Journal of Statistical Physics

, Volume 131, Issue 5, pp 843–865 | Cite as

On the Problem of Dynamical Localization in the Nonlinear Schrödinger Equation with a Random Potential

  • Shmuel Fishman
  • Yevgeny Krivolapov
  • Avy Soffer
Article

Abstract

We prove a dynamical localization in the nonlinear Schrödinger equation with a random potential for times of the order of O(β −2), where β is the strength of the nonlinearity.

Keywords

Anderson localization NLSE Random potential Nonlinear Schrödinger Dynamical localization 

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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Shmuel Fishman
    • 1
  • Yevgeny Krivolapov
    • 1
  • Avy Soffer
    • 2
    • 3
  1. 1.Physics DepartmentTechnion—Israel Institute of TechnologyHaifaIsrael
  2. 2.Mathematics DepartmentRutgers UniversityNew-BrunswickUSA
  3. 3.Mathematics DepartmentWeizmann InstituteRehovotIsrael

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