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.
Fontanelli, Laura, Lorenzoni, Paolo, PEDRONI, Marco, (2006). A 3-component extension of the Camassa-Holm hierarchy 3/MS (2006)). Bergamo: Retrieved from http://hdl.handle.net/10446/557
A 3-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.File allegato/i alla scheda:
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