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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1981 Volume 104, Pages 217–227 (Mi znsl3391)

This article is cited in 1 paper

Degeneration and resonance phenomena in the wave propagation problems

A. S. Starkov


Abstract: 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.

UDC: 517.946


 English version:
Journal of Soviet Mathematics, 1982, 20:1, 1883–1890

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© Steklov Math. Inst. of RAS, 2024