A 3-component extension of the Camassa-Holm hierarchy

Details A 3-component extension of the Camassa-Holm hierarchy A 3-component extension of the Camassa-Holm hierarchy

2006-04-19

arxiv.org/abs/nlin/0604040v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

15 pages; minor changes; to appear in Letters in Mathematical Physics

Scientific paper

10.1007/s11005-006-0109-z

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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