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Theoretical and Mathematical Physics

, Volume 115, Issue 3, pp 639–646 | Cite as

First integrals of generalized Toda chains

  • V. É. Adler
  • A. B. Shabat
Article

Abstract

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

Keywords

Commutation Relation Poisson Bracket Multiplication Table Toda Chain Concrete Matrix 
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 1998

Authors and Affiliations

  • V. É. Adler
    • 1
  • A. B. Shabat
    • 2
  1. 1.Institute for Mathematics, Ufa Science CenterRussian Academy of SciencesUfaRussia
  2. 2.Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow RegionRussia

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