Statistics of a noise-driven Manakov soliton

Stanislav A. Derevyanko, Jaroslaw E. Prilepsky, Dennis A. Yakushev

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We investigate the statistics of a vector Manakov soliton in the presence of additive Gaussian white noise. The adiabatic perturbation theory for a Manakov soliton yields a stochastic Langevin system which we analyse 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 analyse their dependence on the initial values of polarization angle and phase.

Original languageEnglish
Pages (from-to)1297-1309
Number of pages13
JournalJournal of Physics A: Mathematical and General
Issue number6
StatePublished - 10 Feb 2006
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy (all)


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