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arxiv: solv-int/9901001 · v1 · submitted 1999-01-04 · solv-int · nlin.SI

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

classification solv-int nlin.SI
keywords conservedquantitiescamassa-holmequationconstructionexploreglobalimplications
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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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