This article is cited in 5 papers

First integrals of generalized 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: We construct a zero-curvature representation for generalized Toda chains. Evaluating the first integrals amounts to multiplying the matrices that depend linearly on the fields and satisfy a given multiplication table.

Received: 26.02.1998

DOI: 10.4213/tmf878

 English version: Theoretical and Mathematical Physics, 1998, 115:3, 639–646

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