Wave splitting for first-order systems of equations (Q1854156)
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scientific article; zbMATH DE number 1852892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wave splitting for first-order systems of equations |
scientific article; zbMATH DE number 1852892 |
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Wave splitting for first-order systems of equations (English)
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13 January 2003
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Summary: Systems of first-order partial differential equations are considered, and the possible decomposition of solutions in forward and backward propagating waves is investigated. After a review of a customary procedure in space-time domain (wave splitting), attention is addressed to Fourier-transform domain, thus considering frequency-dependent functions of space variable. The characterization is given for the direction of propagation, and applications are developed in some cases of physical interest.
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first-order partial differential equations
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decomposition
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space-time domain
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wave splitting
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Fourier-transform domain
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direction of propagation
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backward-propagating wave
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forward-propagating wave
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