On Stochastic Dynamics of Solitons in I N
نویسنده
چکیده
Stochastic dynamics o f a soliton in a long optical fiber is analysed within the framework of the nonlinear Schr6dinger equation. It is shown that in the case of periodic perturbations describing, e.g. sound propagation along a fiber, adiabatic dynamics of a soliton may be stochastic, and the condition for this stochastic motion is obtained. In the case of random perturbations we obtain the solution of the associated Fokker-Plank equation for the random soliton parameters and calculate the mean soliton intensity. Taking into account the radiative losses we also derive the law of radiative damping of an optical soliton in the fiber with random inhomogeneities.
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