On the asymptotics of multidimensional linear wave packets: Reference solutions

被引：0
|
作者：
V. G. Gnevyshev
S. I. Badulin
机构：
[1] Russian Academy of Sciences,Shirshov Institute of Oceanology
[2] Novosibirsk State University,undefined
来源：
Moscow University Physics Bulletin | 2017年 / 72卷
关键词：
linear waves; wave dispersion; method of stationary phase; method of steepest descent; saddlepoint method; wave packet dispersion;
D O I：
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学科分类号：
摘要：
The classic problem of linear wave-packet propagation in a dispersive medium is considered. Asymptotic equations of the Cauchy problem for two-dimensional Gaussian wave packets are constructed in terms of Fourier integrals. These asymptotic solutions are regular at the caustics and describe new physical features of wave-packet propagation: rotation in space and formation of a wave front with anomalously slow dispersion (quasi-dispersive).
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页码：415 / 423
页数：8
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