Wave splitting for first-order systems of equations

G. Caviglia and A. Morro

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 32, 1-11

Abstract:

Systems of first-order partial differential equations are considered and the possible decomposition of the solutions in forward and backward propagating is investigated. After a review of a customary procedure in the space-time domain (wave splitting), attention is addressed to systems in the Fourier-transform domain, thus considering frequency-dependent functions of the space variable. The characterization is given for the direction of propagation and applications are developed to some cases of physical interest.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:680964

DOI: 10.1155/S0161171202110301

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