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TMF, 1990 Volume 84, Number 1, Pages 64–78 (Mi tmf5861)

$2+1$ Toda chain. II. Hamiltonian formalism

V. D. Lipovskii, A. V. Shirokov


Abstract: A Hamiltonian interpretation of the inverse scattering method for the $2+1$ Toda chain developed in [1] is proposed. Action-angle variables are found, i.e., the complete integrability of this model is demonstrated.

Received: 20.07.1989


 English version:
Theoretical and Mathematical Physics, 1990, 84:1, 718–728

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