Classification of five-point differential-difference equations II

2017/08/08 by R. N. Garifullin, R. I. Yamilov, D. Levi · 2 citations
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1088/1751-8121/aaa14e

18 pages

arxiv created 2017/08/08 · arxiv updated 2018/02/14

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.

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• On matrix Lax representations for (1+1)-dimensional evolutionary differential-difference equations
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