Algorithm of the analysis of own modes nonlinear dielectric of a layer

On an example of the elementary nonlinear electrodynamics structure-nonlinear, transverse non-homogeneous dielectric of a layer-the constructive approach of the analysis of own modes, both regular and irregular points of a spectrum, is demonstrated. The algorithm of the numerical decision of nonlinear stationary spectral problems is offered, whose basis is the use of a method of successive approximations, on each step of which iteration the appropriate linear spectral task is decided.