Long-wave short-wave resonance for nonlinear geometric optics. (Q1847823)
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scientific article; zbMATH DE number 1820804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Long-wave short-wave resonance for nonlinear geometric optics. |
scientific article; zbMATH DE number 1820804 |
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Long-wave short-wave resonance for nonlinear geometric optics. (English)
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27 October 2002
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This paper studies oscillatory solutions of nonlinear hyperbolic systems, with attention focussed mainly on the interaction of oscillations with a mean field created by the nonlinearity (rectification effects). A new class of profile equations is obtained and used to construct solutions for a sub-class. Finally, the stability of the asymptotic expansion is proved in connection with Maxwell-Bloch-type systems.
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oscillatory solutions
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Maxwell-Bloch-type systems
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