• Mathematics, Physics
  • Published 2017

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

@inproceedings{Adler2017Integrable7D,
  title={Integrable 7-point discrete equations and evolution lattice equations of order 2},
  author={Vsevolod E. Adler},
  year={2017}
}
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. 

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