1 research outputs found
Statistics of a noise-driven Manakov soliton
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.Comment: Submitted to J.Phys.A: Mathematical and Genera