Interaction equations for short and long dispersive waves (Q1269513)
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scientific article; zbMATH DE number 1215585
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Interaction equations for short and long dispersive waves |
scientific article; zbMATH DE number 1215585 |
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Interaction equations for short and long dispersive waves (English)
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17 March 1999
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The Cauchy problem is considered for a pair of coupled nonlinear partial differential equations in one spatial dimension, a special case of which was studied in the authors' previous paper [Adv. Differ. Equ. 1, No. 6, 919-937 (1996; Zbl 0861.35104)], representing long and short waves and their interaction. In the present paper it is shown that this Cauchy problem is well posed in a larger class of initial data than it was proved in the previous paper.
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well-posedness of the Cauchy problem
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coupled systems of nonlinear PDEs
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water waves
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nonlinear interactions
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