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Zbl 1191.35220
Bakhoum, Ezzat G.; Toma, Cristian
Mathematical transform of traveling-wave equations and phase aspects of quantum interaction.
(English)
[J] Math. Probl. Eng. 2010, Article ID 695208, 15 p. (2010). ISSN 1024-123X; ISSN 1563-5147/e

Summary: The traveling wave equation is an essential tool in the study of vibrations and oscillating systems. This paper introduces an important extension to the Fourier/Laplace transform that is needed for the analysis of signals that are represented by traveling wave equations. Another objective of the paper is to present a mathematical technique for the simulation of the behavior of large systems of optical oscillators.
MSC 2000:
*35Q40 PDE from quantum mechanics
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Highlights
Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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