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A 3-component extension of the Camassa-Holm hierarchy

Laura Fontanelli·Paolo Lorenzoni·Marco Pedroni
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Abstract

We introduce a bi-Hamiltonian hierarchy on the loop-algebra of sl(2) endowed with a suitable Poisson pair. It gives rise to the usual CH hierarchy by means of a bi-Hamiltonian reduction, and its first nontrivial flow provides a 3-component extension of the CH equation.

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Laura Fontanelli, Paolo Lorenzoni, Marco Pedroni. 2006-09-04. A 3-component extension of the Camassa-Holm hierarchy. https://doi.org/10.1007/s11005-006-0109-z

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