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Exactly Solvable and Integrable Systems
The Camassa-Holm Equation: Conserved Quantities and the Initial Value Problem
Michael Fisher
,
Jeremy Schiff
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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Submitted on 4 Jan 1999
Updated
arXiv.org
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