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

Michael Fisher·Jeremy Schiff
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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.

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Michael Fisher, Jeremy Schiff. 1999-01-04. The Camassa-Holm Equation: Conserved Quantities and the Initial Value Problem. https://doi.org/10.1016/s0375-9601(99)00466-1

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