$2+1$~Toda chain.
Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 64-78

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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.
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     author = {V. D. Lipovskii and A. V. Shirokov},
     title = {$2+1${~Toda} chain.},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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V. D. Lipovskii; A. V. Shirokov. $2+1$~Toda chain.. Teoretičeskaâ i matematičeskaâ fizika, Tome 84 (1990) no. 1, pp. 64-78. http://geodesic.mathdoc.fr/item/TMF_1990_84_1_a5/