Theoretical and Mathematical Physics

, Volume 112, Issue 2, pp 935–948 | Cite as

Generalized legendre transformations

  • V. E. Adler
  • A. B. Shabat


A general theory of Toda chains is presented. The chains are treated as Lagrange dynamic systems with one continuous and one discrete time. The theory is based on the fact that the chains are invariant with respect to transformations that are analogous to the Legendre transformations in classical mechanics.


Poisson Bracket Legendre Transformation Generalize Momentum Toda Chain Variational Symmetry 
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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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