  The propagation of laser beams through madia with cubic nonlinear
polarization is part of a wide range of practical applications. The processes
that are involved are at the limit of extreme (cuasi-singular) concentration of
intensity and the transversal modulational instability, the saturation and
defocusing effect of the plasma generated through avalanche and multi-photon
(MPI) ionization are competing leading to a complicated pattern of intensity in
the transversal plane. This regime has been named \textquotedblleft optical
turbulence\textquotedblright and it has been studied in experiments and
numerical simulations. Led by the similarity of the portraits we have
investigated the possibility that the mechanism that underlies the creation of
the complex pattern of the intensity field is the manifestation of the dynamics
\textit{activator-inhibitor}. In a previous work we have considered a unique
connection, the \textit{complex Landau-Ginzburg equation}, a common ground for
the nonlinear Schrodinger equation (optical propagation) and reaction-diffusion
systems (activator-inhibitor). The present work is a continuation of this
investigation. We start from the exact integrability of the elementary
self-focusing propagation (\textit{gas Chaplygin with anomalous polytropic})
and show that the analytical model for the intensity can be extended on
physical basis to include the potential barrier separating two states of
equilibria and the drive due to competing Kerr and MPI nonlinearities. We
underline the variational structure and calculate the width of a branch of the
cluster of high intensity (when it is saturated at a finite value). Our result
is smaller but satisfactorily in the range of the experimental observations.
