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arXiv · 1011.0070

Generalized symmetry integrability test for discrete equations on the square lattice

D. Levi·R. I. Yamilov
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Abstract

We present an integrability test for discrete equations on the square lattice, which is based on the existence of a generalized symmetry. We apply this test to a number of equations obtained in different recent papers. As a result we prove the integrability of 7 equations which differ essentially from the $Q_V$ equation introduced by Viallet and thus from the Adler-Bobenko-Suris list of equations therein contained.

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D. Levi, R. I. Yamilov. 2010-10-30. Generalized symmetry integrability test for discrete equations on the square lattice. https://doi.org/10.1088/1751-8113/44/14/145207

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