Theoretical and Mathematical Physics

, Volume 111, Issue 3, pp 647–657

On a class of toda chains

  • V. E. Adler
  • A. B. Shabat


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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Copyright information

© Plenum Publishing Corporation 1997

Authors and Affiliations

  • V. E. Adler
    • 1
  • A. B. Shabat
    • 2
  1. 1.Institute of Mathematics, Ufa Scientific CenterRussian Academy of SciencesUfaRussia
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesMoscowRussia

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