On the local and nonlocal Camassa-Holm hierarchies
Abstract
We construct the local and nonlocal conserved densities for the Camassa-Holm equation by solving a suitable Riccati equation. We also define a Kadomtsev-Petviashvili extension for the local Camassa-Holm hierarchy.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- April 2005
- DOI:
- 10.1063/1.1888568
- Bibcode:
- 2005JMP....46d2704C
- Keywords:
-
- 02.30.Jr;
- Partial differential equations