Extension of the Adler-Bobenko-Suris classification of integrable lattice equations

Details Extension of the Adler-Bobenko-Suris classification of integrable lattice equations Extension of the Adler-Bobenko-Suris classification of integrable lattice equations

2007-05-16

arxiv.org/abs/0705.2280v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

14 pages, 2 figures

Scientific paper

10.1088/1751-8113/40/27/F03

The classification of lattice equations that are integrable in the sense of
higher-dimensional consistency is extended by allowing directed edges. We find
two cases that are not transformable via the 'admissible transformations' to
the lattice equations in the existing classification.

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