A 3-component extension of the Camassa-Holm hierarchy

B. Fuchssteiner; B. Khesin; E.G. Reyes; G. Falqui; H. McKean; J.E. Marsden; L.A. Dickey; Laura Fontanelli; M. Pedroni; Marco Pedroni; P. Casati; P. Casati; P. Casati; P. Libermann; P. Lorenzoni; Paolo Lorenzoni; R. Beals; R. Beals; R. Camassa; S. Abenda; S. Liu; V.E. Zakharov; V.G. Drinfeld

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A 3-component extension of the Camassa-Holm hierarchy

Authors: B. Fuchssteiner
B. Khesin
E.G. Reyes
G. Falqui
H. McKean
J.E. Marsden
L.A. Dickey
Laura Fontanelli
M. Pedroni
Marco Pedroni
P. Casati
P. Casati
P. Casati
P. Libermann
P. Lorenzoni
Paolo Lorenzoni
R. Beals
R. Beals
R. Camassa
S. Abenda
S. Liu
V.E. Zakharov
V.G. Drinfeld
Publication date: 1 January 2006
Publisher: 'Springer Science and Business Media LLC'
Doi

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.Comment: 15 pages; minor changes; to appear in Letters in Mathematical Physic

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