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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 98, Number 2, Pages 197–206
(Mi tmf1971)
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This article is cited in 6 scientific papers (total in 6 papers)
Influence of weak nonlinearity on the high-frequency asymptotics in caustic rearrangements
B. I. Suleimanov Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Abstract:
A study is made of the influence of weak nonlinearity on the structure of the high-frequency asymptotics in the neighborhood of singular points of caustics. The properties of the resulting nonlinear analogs of the special functions of wave catastrophes are described. It is shown that these nonlinear special functions satisfy ordinary differential equations.
Received: 10.02.1993
Citation:
B. I. Suleimanov, “Influence of weak nonlinearity on the high-frequency asymptotics in caustic rearrangements”, TMF, 98:2 (1994), 197–206; Theoret. and Math. Phys., 98:2 (1994), 132–138
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