This article is cited in 3 papers

Reductions of the Volterra and Toda chains

A. K. Svinin

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences

Abstract: 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.

Received: 22.02.2000

DOI: 10.4213/tmf648

 English version: Theoretical and Mathematical Physics, 2000, 124:3, 1211–1216

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