Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2005-09-11
J. Phys. A: Math. Gen. 39 (2006) 1297-1309
Nonlinear Sciences
Chaotic Dynamics
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.
Derevyanko Stanislav A.
Prilepsky Jaroslaw E.
Yakushev D. A.
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