Geodesic
Non-stationary SV Rayleigh waves near a~surface of inhomogeneous elastic body
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 168-183

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Well known stationary Rayleigh modes having phase velocity comparable with the shear elastic one is generalized for non-stationary equation of elasticity. Uniform asymptotics of wave field is obtained as a sum of two types of space-time expansions; with real phase (for shear waves) and complex phase (for longitudinal waves). 
@article{ZNSL_1986_156_a15,
     author = {Z. A. Yanson},
     title = {Non-stationary {SV} {Rayleigh} waves near a~surface of inhomogeneous elastic body},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {168--183},
     publisher = {mathdoc},
     volume = {156},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a15/}
}
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Z. A. Yanson. Non-stationary SV Rayleigh waves near a~surface of inhomogeneous elastic body. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 16, Tome 156 (1986), pp. 168-183. http://geodesic.mathdoc.fr/item/ZNSL_1986_156_a15/