Distribution of surface waves in open nonlinear anisotropic and gradient planar compositional structures was considered. The planar waveguide structure consisted of four layers which dielectric susceptibility of the internal environment contained additive components. One of the components was depended on the module of electric field under sedate laws. Other components were represented by a tensor of dielectric permeability which main axes were coincided with axes of the Cartesian system of coordinates, then were turned on some corner of rather longitudinal coordinate of Oz, and finally were turned round the cross coordinate of Oy. Elements of a tensor of dielectric susceptibility depended on spatial coordinates under the generalized laws. From Maxwell's equations we received the wave equations for the cross working-out electric and magnetic vectors. New solutions of these quasi-differential equations which special cases could be presented by the set of known special functions were found. Cross and longitudinal components of electric and magnetic fields were found on this basis. In the end of our research we showed the possibility of practical applications of all results.

Keywords: non-linearity, non-linear optics , layered structure , surface waves , discrete spectrum , dielectric waveguides complex structure .