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arXiv · 1411.6792

Conditional probability calculations for the nonlinear Schr\"odinger equation with additive noise

I. S. Terekhov·S. S. Vergeles·S. K. Turitsyn
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Abstract

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

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I. S. Terekhov, S. S. Vergeles, S. K. Turitsyn. 2014-11-25. Conditional probability calculations for the nonlinear Schr\"odinger equation with additive noise. https://arxiv.org/abs/1411.6792

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