A 3-component extension of the Camassa-Holm hierarchy
Exactly Solvable and Integrable Systems
2009-11-11 v2
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.
Keywords
Cite
@article{arxiv.nlin/0604040,
title = {A 3-component extension of the Camassa-Holm hierarchy},
author = {Laura Fontanelli and Paolo Lorenzoni and Marco Pedroni},
journal= {arXiv preprint arXiv:nlin/0604040},
year = {2009}
}
Comments
15 pages; minor changes; to appear in Letters in Mathematical Physics