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arXiv · 1403.6778

On astigmatic solutions of the wave and the Klein-Gordon-Fock equations with exponential fall--off

Ignat V. Fialkovsky·Maria V. Perel·Alexander B. Plachenov
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Abstract

Highly localized explicit solutions to multidimensional wave and Klein--Gordon--Fock equations are presented. Their Fourier transform is also found explicitly. Solutions depend on a set of parameters, and demonstrate astigmatic properties. Asymptotic analysis for large and moderate time shows that constructed solutions have Gaussian localisation near a point moving with the group speed.

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Ignat V. Fialkovsky, Maria V. Perel, Alexander B. Plachenov. 2014-03-26. On astigmatic solutions of the wave and the Klein-Gordon-Fock equations with exponential fall--off. https://doi.org/10.1063/1.4901233

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