Functional Analysis and Its Applications

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

Legendre transforms on a triangular lattice

  • V. É. Adler


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.


High Symmetry Triangular Lattice Discrete Analog Toda Lattice Curvature Representation 
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Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • V. É. Adler

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