Conditional probability calculations for the nonlinear Schrödinger equation with additive noise

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

Research output: Contribution to journalArticlepeer-review

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).

Fingerprint

Dive into the research topics of 'Conditional probability calculations for the nonlinear Schrödinger equation with additive noise'. Together they form a unique fingerprint.

Cite this