The Camassa Holm equation: conserved quantities and the initial value problem
Abstract
Using a Miura-Gardner-Kruskal type construction, we show that the Camassa-Holm equation has an infinite number of local conserved quantities. We explore the implications of these conserved quantities for global well-posedness.
- Publication:
-
Physics Letters A
- Pub Date:
- August 1999
- DOI:
- 10.1016/S0375-9601(99)00466-1
- arXiv:
- arXiv:solv-int/9901001
- Bibcode:
- 1999PhLA..259..371F
- Keywords:
-
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 8 pages, LaTeX