Statistics of a noise-driven Manakov soliton

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Submitted to J.Phys.A: Mathematical and General

Scientific paper

10.1088/0305-4470/39/6/006

We investigate the statistics of a vector Manakov soliton in the presence of additive Gaussian white noise. The adiabatic perturbation theory for Manakov soliton yields a stochastic Langevin system which we analyze via the corresponding Fokker-Planck equation for the probability density function (PDF) for the soliton parameters. We obtain marginal PDFs for the soliton frequency and amplitude as well as soliton amplitude and polarization angle. We also derive formulae for the variances of all soliton parameters and analyze their dependence on the initial values of polarization angle and phase.

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