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Asymptotics of multidimensional linear wave packets. Reference solutions

V. G. Gnevyshev$^1$, S. I. Badulin$^2$

Moscow University Physics Bulletin 2017. 72. N 4. P. 415

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Annotation

A classic problem of propagation of linear wave packets in dispersive media is considered. Asymptotics of the Cauchy problem for two-dimensional gaussian wave packets are found in terms of Fourier integrals. These asymptotic solutions are regular at caustics and describe new physical effects of the packet propagation: rotation in space and formation of wave front which dispersion appears to be anomalously slow as compared to the well-known solutions for dispersive waves.

Received: 2016 September 12
Approved: 2017 October 2
PACS:
47.35.-i Hydrodynamic waves
92.10.H- Ocean waves and oscillations
92.10.hf Planetary waves, Rossby waves
Rissian citation:
В. Г. Гневышев, С. И. Бадулин.
Об асимптотическом поведении пакетов линейных волн в многомерном случае. Эталонные решения.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2017. № 4. С. 73.
Authors
V. G. Gnevyshev$^1$, S. I. Badulin$^2$
$^1$P.P. Shirshov Institute of Oceanology RAS
$^2$Novosibirsk State University
Issue 4, 2017

Moscow University Physics Bulletin

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