Geodesic
Parabolic Equation Method for Anisotropic Elastic Media
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 12, Tome 117 (1981), pp. 27-38

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The paper deals with problem of short-wave diffraction of two-dimensional elastic waves. Though elastic media under consideration is anisotropic, the problem can be treated with Leontovitch–Fock method of parabolic equation. 
@article{ZNSL_1981_117_a2,
     author = {I. Y. Bylyi},
     title = {Parabolic {Equation} {Method} for {Anisotropic} {Elastic} {Media}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {27--38},
     publisher = {mathdoc},
     volume = {117},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_117_a2/}
}
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I. Y. Bylyi. Parabolic Equation Method for Anisotropic Elastic Media. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 12, Tome 117 (1981), pp. 27-38. http://geodesic.mathdoc.fr/item/ZNSL_1981_117_a2/