Fluctuations of plasmons localized in a plasma by a pumping electromagnetic wave

It is shown that in a spatially inhomogeneous plasma, spatially localized plasma waves may arise in the vicinity of the region in which a pumping wave decays into two plasmons; the intensity of the plasma waves is not an increasing function of time. A theory of stationary fluctuations of such spatially localized waves is formulated. Critical growth of the fluctuations on approach to the instability threshold is predicted. A collision integral is obtained in which the effect of localized plasma waves is taken into account