  This paper presents a solution to the nonlinear small x ``projectile side''
evolution equations as derived by Balitskii in 1996. The solution is based on
functional Fokker-Planck methods. The fixed point at small x is explicitly
calculated and all correlation functions in this limit are determined. They
show clear saturation and unitarization properties. Scaling laws that hold
during the saturation phase and throughout the whole course of the evolution
are established. The corresponding Langevin equations are given as a basis for
numerical simulations opening the field for future studies of dynamical issues
of the evolution not analytically accessible. The methods used may be extended
to the ``target side'' equations of Jalilian-Marian, Kovner, Leonidov and
Weigert.
