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The Cauchy problem of a shallow water equation - MaRDI portal

The Cauchy problem of a shallow water equation (Q2581158)

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The Cauchy problem of a shallow water equation
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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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