On the propagation of the Love waves in anisotropic elastic media

The Love waves concentrated near the surface of an anisotropic elastic body are studied. The uniform asymptotics of the wave field is constructed with the use of nonstationary caustic expansion (Yu. A. Kravtsov's ansatz) in the form of space-time ray series. Using three types of waves, which propagate along any direction in an elastic medium, as a vector basis we proceed to obtain the sufficient conditions for existence of nonzero asymptotic solution of the problem under study. The procedure for constructing asymptotic series is illustrated for the model of a transversely isotropic medium.