Geodesic
Reductions of the Volterra and Toda chains
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 3, pp. 419-425

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We consider Volterra and Toda systems. Using certain algebraic relations, we construct a denumerable class of reductions of these differential–difference systems. The result is given by finite-dimensional systems with Bäcklund autotransformations. 
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     author = {A. K. Svinin},
     title = {Reductions of the {Volterra} and {Toda} chains},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {3},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_3_a4/}
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A. K. Svinin. Reductions of the Volterra and Toda chains. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 3, pp. 419-425. http://geodesic.mathdoc.fr/item/TMF_2000_124_3_a4/