  We consider an integrable model which describes light beams propagating in
nonlocal nonlinear media of Cole-Cole type. The model is derived as high
frequency limit of both Maxwell equations and the nonlocal nonlinear
Schroedinger equation. We demonstrate that for a general form of nonlinearity
there exist selfguided light beams. In high frequency limit nonlocal
perturbations can be seen as a class of phase deformation along one direction.
We study in detail nonlocal perturbations described by the dispersionless
Veselov-Novikov (dVN) hierarchy. The dVN hierarchy is analyzed by the reduction
method based on symmetry constraints and by the quasiclassical Dbar-dressing
method. Quasiclassical Dbar-dressing method reveals a connection between
nonlocal nonlinear geometric optics and the theory of quasiconformal mappings
of the plane.
