Email this article Integrable Seven-Point Discrete Equations and Second-Order Evolution Chains
- Authors: Adler V.E.1
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Affiliations:
- Landau Institute for Theoretical Physics
- Issue: Vol 195, No 1 (2018)
- Pages: 513-528
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171706
- DOI: https://doi.org/10.1134/S0040577918040037
- ID: 171706
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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.
About the authors
V. E. Adler
Landau Institute for Theoretical Physics
Author for correspondence.
Email: adler@itp.ac.ru
Russian Federation, RAS, Chernogolovka, Moscow Oblast
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