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**Mathematical transform of traveling-wave equations and phase aspects of quantum interaction.**
*(English)*
Zbl 1191.35220

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:

35Q40 | PDEs in connection with quantum mechanics |

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\textit{E. G. Bakhoum} and \textit{C. Toma}, Math. Probl. Eng. 2010, Article ID 695208, 15 p. (2010; Zbl 1191.35220)

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