Geodesic
On the comparison of methods of computation of interference elastic wave fields in thin-layered media.~1
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 220-238

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A nonstationary problem on propagation of low-frequency waves for a model that consists of a packet of elastic layers lying on the elastic half-space is considered, exact mathematical solutions in the form of iterated integrals are constructed in three basic forms. It is proved that these solutions satisfy initial conditions. The possibility of the passage to the representation of the solution by a superposition of multiple waves is considered. 
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     title = {On the comparison of methods of computation of interference elastic wave fields in thin-layered media.~1},
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G. I. Petrashen; V. V. Reshetnikov; Yu. A. Surkov. On the comparison of methods of computation of interference elastic wave fields in thin-layered media.~1. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 35, Tome 332 (2006), pp. 220-238. http://geodesic.mathdoc.fr/item/ZNSL_2006_332_a13/