Geodesic
Propagation and interaction of short waves in a homogeneous transversally isotropic elastic medium
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 10, pp. 1608-1617
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The Cauchy problem for the equations of motion of a homogeneous transversally isotropic elastic medium is considered. For its solution, a short-wavelength asymptotic expansion is constructed, which is also applicable near specific directions. The resonance set, i.e., the set of points at which the ray expansion cannot be used is described. 
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I. N. Shchitov. Propagation and interaction of short waves in a homogeneous transversally isotropic elastic medium. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 10, pp. 1608-1617. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_10_a6/

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