The Toda flow on a generic orbit is integrable

P. Deift, L. C. Li, T. Nanda, C. Tomei
1984 Bulletin of the American Mathematical Society  
For the generic orbit of the coadjoint action of the lower triangular group on its dual Lie algebra, we exhibit a complete set of integrals in involution for the associated Toda flow.
doi:10.1090/s0273-0979-1984-15311-4 fatcat:wqjmhjkjp5g63nsi55kgkwpscu