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Functional Analysis and Its Applications

, Volume 34, Issue 1, pp 1–9 | Cite as

Legendre transforms on a triangular lattice

  • V. É. Adler
Article

Abstract

We show that the condition of invariance with respect to generalized Legendre transforms effectively singles out a class of integrable difference equations on a triangular lattice; these equations are discrete analogs of relativistic Toda lattices. Some of these equations are apparently new. For one of them, higher symmetries are written out and the zero curvature representation is obtained.

Keywords

High Symmetry Triangular Lattice Discrete Analog Toda Lattice Curvature Representation 
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

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • V. É. Adler

There are no affiliations available

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