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

Shmuel Fishman, Yevgeny Krivolapov, Avy Soffer

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

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.

Original languageEnglish
Pages (from-to)843-865
Number of pages23
JournalJournal of Statistical Physics
Volume131
Issue number5
DOIs
StatePublished - 1 Jun 2008
Externally publishedYes

Keywords

  • Anderson localization
  • Dynamical localization
  • NLSE
  • Nonlinear Schrödinger
  • Random potential

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