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arXiv · 0903.3152

Symmetries and integrability of discrete equations defined on a black-white lattice

P. D. Xenitidis·V. G. Papageorgiou
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Abstract

We study the deformations of the H equations, presented recently by Adler, Bobenko and Suris, which are naturally defined on a black-white lattice. For each one of these equations, two different three-leg forms are constructed, leading to two different discrete Toda type equations. Their multidimensional consistency leads to B{ä}cklund transformations relating different members of this class, as well as to Lax pairs. Their symmetry analysis is presented yielding infinite hierarchies of generalized symmetries.

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P. D. Xenitidis, V. G. Papageorgiou. 2009-03-18. Symmetries and integrability of discrete equations defined on a black-white lattice. https://doi.org/10.1088/1751-8113%2F42%2F45%2F454025

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