Theoretical and Mathematical Physics

, Volume 111, Issue 3, pp 647–657 | Cite as

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.


Compatibility Condition Nondegeneracy Condition Toda Chain Toda System Integrable Generalization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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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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