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.

A Three-component Extension of the Camassa-Holm Hierarchy

PEDRONI, Marco
2006-01-01

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.
journal article - articolo
2006
Fontanelli, Laura; Lorenzoni, Paolo; Pedroni, Marco
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10446/19737
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