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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2011 Volume 393, Pages 224–233 (Mi znsl4626)

This article is cited in 4 papers

Tilted nonparaxial beams and packets for the wave equation with two spatial variables

A. B. Plachenov

Moscow State Institute of Radio-Engineering, Electronics and Automation (Technical University), Moscow

Abstract: A class of relatively nondistorted solutions of the wave equation in two-dimension space is constructed. This class includes nonharmonic in time tilted beam-like and packetlike solutions with Gaussian-type localization.

Key words and phrases: wave equation, exact solutions, localizad waves, Bateman solutions, tilted beams.

UDC: 517.95

Received: 18.10.2011


 English version:
Journal of Mathematical Sciences (New York), 2012, 185:4, 638–643

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