On the asymptotics of multidimensional linear wave packets: Reference solutions |
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| Authors: | V. G. Gnevyshev S. I. Badulin |
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| Affiliation: | 1.Shirshov Institute of Oceanology,Russian Academy of Sciences,Moscow,Russia;2.Novosibirsk State University,Novosibirsk,Russia |
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| 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). |
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