Abstract
A method of adiabatic elimination is proposed based on the use of the Furutsu-Novikov formula. A case of two nonlinear Langevin equations and a spatially distributed problem typical for the nonlinear wave propagation in random media have been considered. The method not only permits adiabatic elimination of the fast-decaying variable from the equation for the slow-decaying one but also allows for the return effect of the slow-decaying subsystem on the fast-decaying one.
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