Note on modulational instability of Boussinesq wavetrains (Q1187609)
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scientific article; zbMATH DE number 39601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Note on modulational instability of Boussinesq wavetrains |
scientific article; zbMATH DE number 39601 |
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Note on modulational instability of Boussinesq wavetrains (English)
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13 August 1992
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Summary: It is demonstrated that modulational instability may occur in Boussinesq wavetrains for wavenumbers \(k^ 2>1\), in contrast to the result found by \textit{B. K. Shivamoggi} and \textit{L. Debnath} [Int. J. Math. Math. Sci. 6, 811--817 (1983; Zbl 0543.76018)]. Both Whitham's averaged Lagrangian formulation and the technique of \textit{T. B. Benjamin} and \textit{J. E. Feir} [J. Fluid Mech. 27, 417--430 (1967; Zbl 0144.47101)] are used.
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Whitham's averaged Lagrangian formulation
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