Classification of five-point differential-difference equations
Exactly Solvable and Integrable Systems
2017-04-05 v1
Abstract
Using the generalized symmetry method, we carry out, up to autonomous point transformations, the classification of integrable equations of a subclass of the autonomous five-point differential-difference equations. This subclass includes such well-known examples as the Itoh-Narita-Bogoyavlensky and the discrete Sawada-Kotera equations. The resulting list contains 17 equations some of which seem to be new. We have found non-point transformations relating most of the resulting equations among themselves and their generalized symmetries.
Cite
@article{arxiv.1610.07342,
title = {Classification of five-point differential-difference equations},
author = {R. N. Garifullin and R. I. Yamilov and D. Levi},
journal= {arXiv preprint arXiv:1610.07342},
year = {2017}
}
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29 pages