The ray type solution for the finite deformation waves in a physically linear nonlinear inhomogeneous medium

The paper is devoted to the ray types waves of finite deformation in the nonlinear, physically linear elastic media. The waves are a generalization of the Bland plane waves for the isotropic nonlinear media. For the waves the fast oscillation and slow oscillation parts are interacted during the process of propagation. Forms of the waves are adiabatically changed. An example of plane wave in the inhomogeneous media is considered.