Factorization of the wave equation in higher dimensions
- 1 May 1987
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 28 (5) , 1061-1068
- https://doi.org/10.1063/1.527547
Abstract
The factorization of the wave equation into a coupled system involving up-and down-going wave components is obtained for the case where the field quantities are multivariate functions of spatial variables, but the velocity c is a function of the z variable only. The form of the reflection operator is derived and the quadratic differential-integral equation satisfied by its kernel is obtained.Keywords
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