In the context of the non-linear elasticity theory we consider a model for compressible solids called “compressible neoHookean
material”. We show how (exact) finite-amplitude inhomogeneous plane wave solutions and finite-amplitude unattenuated
solutions can combine to form a finite-amplitude Love wave. Also, we investigate the special case when the interface between the layer
and the substrate is in a principal plane of the pre-strain.