Classification of five-point differential-difference equations II
Exactly Solvable and Integrable Systems
2018-02-14 v1
Abstract
Using the generalized symmetry method we finish a classification, started in the article [R.N. Garifullin, R.I. Yamilov and D. Levi, Classification of five-point differential-difference equations, J. Phys. A: Math. Theor. 50 (2017) 125201 (27pp)], of integrable autonomous five-point differential-difference equations. The resulting list, up to autonomous point transformations, contains 14 equations some of which seem to be new. We have found non-autonomous or non-point transformations relating most of the obtained equations among themselves as well as their generalized symmetries.
Cite
@article{arxiv.1708.02456,
title = {Classification of five-point differential-difference equations II},
author = {R. N. Garifullin and R. I. Yamilov and D. Levi},
journal= {arXiv preprint arXiv:1708.02456},
year = {2018}
}
Comments
18 pages