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Theoretical and Mathematical Physics

, Volume 195, Issue 1, pp 513–528 | Cite as

Integrable Seven-Point Discrete Equations and Second-Order Evolution Chains

  • V. E. Adler
Article

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.

Keywords

integrability discrete equation differential–difference equation lattice symmetry 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsRAS, Chernogolovka, Moscow OblastRussia

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