Statistics of a noise-driven Manakov soliton

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dc.creatorDerevyanko, S. A.
dc.creatorPrilepsky, J. E.
dc.creatorYakushev, D. A.
dc.date2005-09-11
dc.date.accessioned2026-07-07T06:25:12Z
dc.date.available2026-07-07T06:25:12Z
dc.descriptionWe 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.
dc.descriptionSubmitted to J.Phys.A: Mathematical and General
dc.identifierhttps://arxiv.org/abs/nlin/0509024
dc.identifierhttp://arxiv.org/abs/nlin/0509024
dc.identifierJ. Phys. A: Math. Gen. 39 (2006) 1297-1309
dc.identifierdoi:10.1088/0305-4470/39/6/006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96775
dc.subjectChaotic Dynamics
dc.subjectExactly Solvable and Integrable Systems
dc.titleStatistics of a noise-driven Manakov soliton
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