On the asymptotics of multidimensional linear wave packets: Reference solutions

V. G. Gnevyshev; S. I. Badulin

doi:10.3103/S0027134917040075

On the asymptotics of multidimensional linear wave packets: Reference solutions

V. G. Gnevyshev, S. I. Badulin

Nonlinear Wave Processes Laboratory

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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).

Original language	English
Pages (from-to)	415-423
Number of pages	9
Journal	Moscow University Physics Bulletin
Volume	72
Issue number	4
DOIs	https://doi.org/10.3103/S0027134917040075
Publication status	Published - 1 Jul 2017

Keywords

linear waves
method of stationary phase
method of steepest descent
saddlepoint method
wave dispersion
wave packet dispersion

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10.3103/S0027134917040075

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AU - Badulin, S. I.

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AB - 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).

KW - linear waves

KW - method of stationary phase

KW - method of steepest descent

KW - saddlepoint method

KW - wave dispersion

KW - wave packet dispersion

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DO - 10.3103/S0027134917040075

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EP - 423

JO - Moscow University Physics Bulletin (English Translation of Vestnik Moskovskogo Universiteta, Fizika)

JF - Moscow University Physics Bulletin (English Translation of Vestnik Moskovskogo Universiteta, Fizika)

SN - 0027-1349

IS - 4

ER -

On the asymptotics of multidimensional linear wave packets: Reference solutions

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