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

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 example...

Full description

Saved in:
Bibliographic Details
Published in:Theoretical and mathematical physics 2018-04, Vol.195 (1), p.513-528
Main Author: Adler, V. E.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Chains
Difference equations
Differential equations
Evolution
Mathematical analysis
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0040-5779
1573-9333
DOI:10.1134/S0040577918040037