Geodesic
Toda Chains in the Jacobi Method
Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 2, pp. 225-244

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We use the Jacobi method to construct various integrable systems, such as the Stдckel systems and Toda chains, related to various root systems. We find canonical transformations that relate integrals of motion for the generalized open Toda chains of types $B_n$, $C_n$, and $D_n$.
Keywords: integrable systems, Hamilton–Jacobi equation, separation of variables, Toda chains. 
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     author = {A. V. Tsiganov},
     title = {Toda {Chains} in the {Jacobi} {Method}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2004_139_2_a3/}
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A. V. Tsiganov. Toda Chains in the Jacobi Method. Teoretičeskaâ i matematičeskaâ fizika, Tome 139 (2004) no. 2, pp. 225-244. http://geodesic.mathdoc.fr/item/TMF_2004_139_2_a3/