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Integrable 7-point discrete equations and evolution lattice equations of order 2

We consider differential-difference equations that determine the continuous symmetries of discrete equations on the triangular lattice. It is shown that a certain combination of continuous flows can be represented as a scalar evolution lattice equation of order 2. The general scheme is illustrated by a number of examples, including an analog of the elliptic Yamilov lattice equation.

preprint2017arXivOpen access
V. E. Adler
nlin.SI
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V. E. Adler

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