Conditional probability calculations for the nonlinear Schrödinger equation with additive noise

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.

Publication DOI: https://doi.org/10.1103/PhysRevLett.113.230602
Divisions: College of Engineering & Physical Sciences > Electrical, Electronic & Power Engineering
College of Engineering & Physical Sciences > Aston Institute of Photonics Technology
College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
Additional Information: © 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).
Uncontrolled Keywords: Physics and Astronomy(all)
Full Text Link: http://journals ... Lett.113.230602
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2014-12-05
Authors: Terekhov, I.S.
Vergeles, S.S.
Turitsyn, S.K. (ORCID Profile 0000-0003-0101-3834)

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