  Geometrical optics limit of the Maxwell equations for nonlinear media with
the Cole-Cole dependence of dielectric function and magnetic permeability on
the frequency is considered. It is shown that for media with slow variation
along one axis such a limit gives rise to the dispersionless Veselov-Novikov
equation for the refractive index. It is demonstrated that the Veselov-Novikov
hierarchy is amenable to the quasiclassical DBAR-dressing method. Under more
specific requirements for the media, one gets the dispersionless
Kadomtsev-Petviashvili equation. Geometrical optics interpretation of some
solutions of the above equations is discussed.
