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.
Levi, D., Yamilov, R.i. (2011). Generalized symmetry integrability test for discrete equations on the square lattice. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 44(14) [10.1088/1751-8113/44/14/145207].
Generalized symmetry integrability test for discrete equations on the square lattice
LEVI, Decio;
2011-01-01
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 seven equations which differ essentially from the QV equation introduced by Viallet and thus from the Adler-Bobenko-Suris list of equations contained therein.File in questo prodotto:
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