Generalized symmetry integrability test for discrete equations on the square lattice
Generalized symmetry integrability test for discrete equations on the square lattice
复制标题
方格上离散方程的广义对称可积性检验
DOI：
10.1088/1751-8113/44/14/145207
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
R. Yamilov
中科院分区：
文献类型：
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作者：
D. Levi;R. Yamilov
基于广义对称的存在性，给出了正方形格点上离散方程的可积性检验。我们将这个测试中得到的不同最近的论文中的一些方程。作为一个结果，我们证明了7个方程的可积性，这些方程本质上不同于Viallet引入的QV方程，因此也不同于Adler-Bobenko-Suris方程。
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 seven equations which differ essentially from the QV equation introduced by Viallet and thus from the Adler–Bobenko–Suris list of equations contained therein.