TY - JOUR
T1 - Statistics of a noise-driven Manakov soliton
AU - Derevyanko, Stanislav A.
AU - Prilepsky, Jaroslaw E.
AU - Yakushev, Dennis A.
N1 - ©2006 IOP Publishing Ltd.
PY - 2006/2/10
Y1 - 2006/2/10
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.
UR - http://www.scopus.com/inward/record.url?scp=31344463482&partnerID=8YFLogxK
UR - http://iopscience.iop.org/0305-4470/39/6/006/
U2 - 10.1088/0305-4470/39/6/006
DO - 10.1088/0305-4470/39/6/006
M3 - Article
AN - SCOPUS:31344463482
SN - 0305-4470
VL - 39
SP - 1297
EP - 1309
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 6
ER -