This article is cited in 27 papers

On the one class of the Toda chains

V. E. Adler^a, A. B. Shabat<sup>b

a</sup> Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
^b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: The main result of our paper is the list of integrable generalizations of the Toda lattice. Apart from known lattices this list contains three new examples. Each lattice from the list gives the Bäcklund transformation for some NLS type system.

Received: 04.03.1997

DOI: 10.4213/tmf1011

 English version: Theoretical and Mathematical Physics, 1997, 111:3, 647–657

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