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arXiv · 1810.11184

Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations

R. N. Garifullin·G. Gubbiotti·R. I. Yamilov
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Abstract

In this paper we construct the autonomous quad-equations which admit as symmetries the five-point differential-difference equations belonging to known lists found by Garifullin, Yamilov and Levi. The obtained equations are classified up to autonomous point transformations and some simple non-autonomous transformations. We discuss our results in the framework of the known literature. There are among them a few new examples of both sine-Gordon and Liouville type equations.

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R. N. Garifullin, G. Gubbiotti, R. I. Yamilov. 2018-10-26. Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations. https://doi.org/10.1080/14029251.2019.1613050

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