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arXiv 2014-11-25 0 views

Conditional probability calculations for the nonlinear Schrödinger equation with additive noise

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

Original · EN

The method for computation of 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 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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