The Cauchy problem of a shallow water equation (Q2581158)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy problem of a shallow water equation |
scientific article |
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The Cauchy problem of a shallow water equation (English)
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9 January 2006
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The authors consider the initial value problem for a fifth order shallow water equation in the nonperiodic case, as opposed to the previously considered periodic case. The equation studied has the same nonlinear terms as the well-known Fuchssteiner-Fokas-Camassa-Holm equation, and in this sense can be considered to be a higher order analogue of this last.
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wellposedness
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nonperiodic shallow water equation
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Camassa-Holm equation
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