Conditional probability calculations for the nonlinear Schrödinger equation with additive noise

I.S. Terekhov, S.S. Vergeles, S.K. Turitsyn

Research output: Contribution to journalArticle

Abstract

The method for the computation of the conditional probability density function for the nonlinear Schrödinger equation with additive noise is developed. We present in a constructive form the conditional probability density function in the limit of small noise and analytically derive it in a weakly nonlinear case. The general theory results are illustrated using fiber-optic communications as a particular, albeit practically very important, example.

Original languageEnglish
Article number230602
Number of pages5
JournalPhysical Review Letters
Volume113
Issue number23
DOIs
Publication statusPublished - 5 Dec 2014

Bibliographical note

© 2014 American Physical Society

Funding: EPSRC (Project UNLOC) and a grant from the Ministry of Education and Science of the Russian Federation (Agreement No. 14.B25.31.0003).

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