, Volume 111, Issue 3, pp 647-657

On a class of toda chains

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The main result of this paper is a list of integrable generalizations of the classical and relativistic Toda chains. This list includes three new types in addition to the well-known chains. Each of them defines a Bäcklund transformation for an NSE-type system. The classification is carried out with the help of a simple symmetry test.

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 111, No. 3, pp. 323–334, June, 1997.