We construct action-angle variables for the Toda flow on generic orbits of the coadjoint action ofThe Toda flow (see [14]) on (WZn, w = Xy=l dx' A dy') is generated by the the lower triangular group on its dual Lie algebra.
HamiltonianFlaschka [7] (see also Moser [ll]) showed that the flow is completely integrable by making the change of variables , n ,
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