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Action-angle variables for the Gel’fand-Dikii flows. (English) Zbl 0754.35134
The action-angle variables for the Gel’fand-Dikii flows [see I. M. Gel’fand and L. A. Dikii, Funct. Anal. Appl. 10 (1976), 259-273 (1977; Zbl 0356.35072)], which generalize the Korteweg-de Vries hierarchy, are considered, and complete integrability in a strong sense is proved.

35Q53 KdV equations (Korteweg-de Vries equations)
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
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