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.

8 pages, LaTeX

References in corpus (1)

• The Camassa-Holm Equation: A Loop Group Approach

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