Abstract
We consider differential–difference equations defining continuous symmetries for discrete equations on a triangular lattice. We show that a certain combination of continuous flows can be represented as a secondorder scalar evolution chain. We illustrate the general construction with a set of examples including an analogue of the elliptic Yamilov chain.
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Adler, V.E. Integrable Seven-Point Discrete Equations and Second-Order Evolution Chains. Theor Math Phys 195, 513–528 (2018). https://doi.org/10.1134/S0040577918040037
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DOI: https://doi.org/10.1134/S0040577918040037