title: 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.
authors.affiliation: Budker Institute of Nuclear Physics of SB RAS, Novosibirsk 630090, Russia and Novosibirsk State University, Novosibirsk 630090, Russia.
authors.forename: I S
authors.initials: IS
authors.lastname: Terekhov
authors.affiliation: Landau Institute for Theoretical Physics, Moscow 119334, Russia.
authors.forename: S S
authors.initials: SS
authors.lastname: Vergeles
authors.affiliation: Novosibirsk State University, Novosibirsk 630090, Russia and Aston Institute of Photonic Technologies, Aston University, Aston Triangle, Birmingham B4 7ET, United Kingdom.
authors.forename: S K
authors.initials: SK
authors.lastname: Turitsyn
mesh_terms: D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011336:Probability; D011789:Quantum Theory