Acoustic surface waves near bodies covered by a shock-absorbing layer

Are considered waves, appearing at the surface of bodies, covered by a thin compressible layer, and rapidly damping with removal from the surface. Shock-absorbing layer is simulated by the nonclassical boundary conditions, obtained by other authors. It is shown that near the body may propagate the waves, localized inside a some layer, the thickness of which depends, in particular, on the mechanical properties of the coating. Surface waves are considered, which are produced in a plane and circular waveguides, formed by two rigid walls, covered by a shock-absorbing layer, and by a cylinder, covered inside and outside by an analogous layer, correspondingly.