On Liouville integrability of zero-curvature equations and the Yang hierarchy

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, , Citation Tu Gui-zhang 1989 J. Phys. A: Math. Gen. 22 2375 DOI 10.1088/0305-4470/22/13/031

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1 Comput. Center, Acad. Sinica, Beijing, China

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0305-4470/22/13/2375

Abstract

Sufficient conditions for a zero-curvature equation Ut-Vx+(U,V)=0 being Liouville integrable are investigated. In the case that the equation is integrable an explicit formula of the Poisson bracket (H( lambda ),H( mu )) for Hamiltonians H is proposed. The Yang hierarchy is derived and shown to be Liouville integrable.

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