Conditional probability calculations for the nonlinear Schrödinger equation with additive noise

I.S. Terekhov; S.S. Vergeles; S.K. Turitsyn

doi:10.1103/PhysRevLett.113.230602

Conditional probability calculations for the nonlinear Schrödinger equation with additive noise

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

Research output: Contribution to journal › Article › peer-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 language	English
Article number	230602
Number of pages	5
Journal	Physical Review Letters
Volume	113
Issue number	23
DOIs	https://doi.org/10.1103/PhysRevLett.113.230602
Publication status	Published - 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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10.1103/PhysRevLett.113.230602

Conditional probability calculations for the nonlinear Schrödinger equation with additive noise
© 2014 American Physical Society
Accepted author manuscript, 558 KB

http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.113.230602

Cite this

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Conditional probability calculations for the nonlinear Schrödinger equation with additive noise

Abstract

Bibliographical note

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