Traveling waves in a thin layer composed of nonlinear hyperelastic Zahorski's material

The propagation of nonlinear travelling waves in the Zahorski elastic layer is isnvestigated. By the averaging process over the width of the layer, we obtain a system of partial differential equations in one-dimensional space and time. A technique of phase planes is used to study the wave processes. Based on the phase trajectory method, we can make an interpretation of conditions of propagation of the nonlinear travelling wave and can establish the existence conditions under which the phase plane contains physically acceptable solutions.