Article ID Journal Published Year Pages File Type
6423029 Journal of Computational and Applied Mathematics 2012 13 Pages PDF
Abstract

We consider the numerical integration of the Degasperis-Procesi equation, which was recently introduced as a completely integrable shallow water equation. For the equation, we propose nonlinear and linear finite difference schemes that preserve two invariants associated with the bi-Hamiltonian form of the equation at the same time. We also prove the unique solvability of the schemes, and show some numerical examples.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
, ,