The Camassa-Holm Equation: Conserved Quantities and the Initial Value Problem

Details The Camassa-Holm Equation: Conserved Quantities and the Initial Value Problem The Camassa-Holm Equation: Conserved Quantities and the Initial Value Problem

1999-01-04

arxiv.org/abs/solv-int/9901001v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages, LaTeX

Scientific paper

10.1016/S0375-9601(99)00466-1

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.

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