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On a class of toda chains

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Abstract

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.

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Authors and Affiliations

  1. Institute of Mathematics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, Russia

    V. E. Adler

  2. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, Russia

    A. B. Shabat

Authors
  1. V. E. Adler
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  2. A. B. Shabat
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Additional information

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

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Adler, V.E., Shabat, A.B. On a class of toda chains. Theor Math Phys 111, 647–657 (1997). https://doi.org/10.1007/BF02634053

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  • DOI: https://doi.org/10.1007/BF02634053

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