This article is cited in 28 papers

Generalized Legendre transformations

V. E. Adler^a, A. B. Shabat<sup>b

a</sup> Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
^b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: We discuss a general theory of the integrable Toda lattices which are considered as Lagrangian dynamical systems with one continuous and one discrete time. The invariance with respect to an analog of the classical Legendre transformations implies their integrability.

Received: 04.06.1997

DOI: 10.4213/tmf1038

 English version: Theoretical and Mathematical Physics, 1997, 112:2, 935–948

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