Explicit models for elastic and piezoelastic surface waves

^** Email: julius.kaplunov{at}brunel.ac.uk Explicit models for the Rayleigh and Bleustein–Gulyaevsurface waves are extracted from the original 2D formulationswithin the general framework of linear elasticity and electroelasticity.The derivations are based on perturbing in slow time the self-similarsolutions for homogeneous surface wave. Both the proposed modelsinvolve hyperbolic equations on the surface along with ellipticequations over the interior, emphasizing the dual nature ofa surface wave. Comparisons with exact solutions are presented,including that for the plane Lamb problem.