A Note On Dimension Reduction and Finite Energy Localized Wave Solutions To the 3-d kLein-Gordon and Scalar Wave Equations. Part Ii. x wAve-Type - Abstract
作者:
I.M. Besieris,
A.M. Shaarawi,
L.P. Ligthart,
期刊:
Journal of Electromagnetic Waves and Applications
(Taylor Available online 2000)
卷期:
Volume 14,
issue 5
页码: 651-652
ISSN:0920-5071
年代: 2000
DOI:10.1163/156939300X01346
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
Extending previous work [1], a novel ansatz is formulated, whereby a class of X wave-type finite energy localized wave (LW) solutions ψ(p, z, t) to the axisymmetric 3-D Klein-Gordon equation is obtained by means of a dimension-reduction approach. Each of these solutions consists of a product of the zero-order X wave solution to the 3-D scalar wave equation and an analytic solution ψ1D(Z, T) to the 1-D Klein-Gordon equation, with variables Z and T appropriately defined in terms of z, t and the polar radial coordinate p. In the absence of dispersion, the same formalism, but with a different definition of the coordinates Z and T, can be used to obtain X wave-type finite energy LW solutions to the 3-D scalar wave equation.
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