  We present a new concept of nonlinear dynamics of incoherent superstrong
radiation in plasmas. Recently we have disclosed a novel mechanism of the
establishment of equilibrium between a photon and a dense photon bunch through
the exchange of longitudinal photons (Tsintsadze 2004 Phys. Plasmas 11, 855).
Based on this mechanism of the "Compton" scattering type, we have generalized
Wigner-Moyal equation for the dense photon gas, including the collision
integral for the occupation number of photons. In the geometric optics
approximation the Wigner-Moyal type of equation reduces to the one particle
Vlasov-Boltzmann equation for the photon gas. From this equation, which gives a
microscopic description of the photon gas, we derive a set of fluid equations,
and consider numerically the formation of 3D shock waves.
