Legendre transformations on the triangular lattice

V. E. Adler

doi:10.1007/bf02467062

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arXiv · solv-int/9808016

Legendre transformations on the triangular lattice

V. E. Adler

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Abstract

The main purpose of the paper is to demonstrate that condition of invariance with respect to the Legendre transformations allows effectively isolate the class of integrable difference equations on the triangular lattice, which can be considered as discrete analogues of relativistic Toda type lattices. Some of obtained equations are new, up to the author knowledge. As an example, one of them is studied in more details, in particular, its higher continuous symmetries and zero curvature representation are found.

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BibTeX RIS

V. E. Adler. 1998-08-26. Legendre transformations on the triangular lattice. https://doi.org/10.1007/bf02467062

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