A numerical and symbolical approximation of the nonlinear Anderson model

Yevgeny Krivolapov, Shmuel Fishman, Avy Soffer

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

A modified perturbation theory, with regard to the strength of the nonlinear term, is developed to solve the nonlinear Schrödinger equation with a random potential. It is demonstrated that in some cases it is substantially more efficient than other methods. Moreover, we obtain error estimates that are explicitly computable within the theory. This approach can be useful for the solution of other nonlinear differential equations of physical relevance.

Original languageEnglish
Article number063035
JournalNew Journal of Physics
Volume12
DOIs
StatePublished - 30 Jun 2010
Externally publishedYes

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