Statistics of a noise-driven Manakov soliton

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

doi:10.1088/0305-4470/39/6/006

Statistics of a noise-driven Manakov soliton

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

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11 Scopus citations

Abstract

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 language	English
Pages (from-to)	1297-1309
Number of pages	13
Journal	Journal of Physics A: Mathematical and General
Volume	39
Issue number	6
DOIs	https://doi.org/10.1088/0305-4470/39/6/006
State	Published - 10 Feb 2006
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/39/6/006

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AU - Prilepsky, Jaroslaw E.

AU - Yakushev, Dennis A.

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N2 - 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.

AB - 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.

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JF - Journal of Physics A: Mathematical and General

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ER -

Statistics of a noise-driven Manakov soliton

Abstract

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