Conservative finite difference schemes for the Degasperis-Procesi equation (Q432805)
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scientific article; zbMATH DE number 6053131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Conservative finite difference schemes for the Degasperis-Procesi equation |
scientific article; zbMATH DE number 6053131 |
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Conservative finite difference schemes for the Degasperis-Procesi equation (English)
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4 July 2012
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The Degasperis-Procesi equation is a completely integrable shallow water equation. For this equation linear as well as nonlinear finite difference schemes are proposed. These schemes conserve at the same time two invariants associated with the bi-Hamiltonian of the equation. Furthermore, unique solvability of the schemes is proven, and numerical examples are given.
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discrete variational derivative method
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shallow water equation
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bi-Hamiltonian
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unique solvability
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