Geodesic
Degeneration and resonance phenomena in the wave propagation problems
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 11, Tome 104 (1981), pp. 217-227

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The paper deals with waves interaction near the point of intersection of dispersive curves or the point where one dispersive curve is close to other ones. A new class of special functions which describee the behavior of normal waves is obtained. It is shown that these functions describe a solution in the neighbourhoods of points of intersections of caustics or points where a distance between caustics is small. 
@article{ZNSL_1981_104_a19,
     author = {A. S. Starkov},
     title = {Degeneration and resonance phenomena in the wave propagation problems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {217--227},
     publisher = {mathdoc},
     volume = {104},
     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_104_a19/}
}
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A. S. Starkov. Degeneration and resonance phenomena in the wave propagation problems. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 11, Tome 104 (1981), pp. 217-227. http://geodesic.mathdoc.fr/item/ZNSL_1981_104_a19/