Towards the classification of integrable differential-difference equations in 2 + 1 dimensions
Exactly Solvable and Integrable Systems
2015-06-15 v1
Abstract
We address the problem of classification of integrable differential-difference equations in 2+1 dimensions with one/two discrete variables. Our approach is based on the method of hydrodynamic reductions and its generalisation to dispersive equations. We obtain a number of classification results of scalar integrable equations including that of the intermediate long wave and Toda type.
Cite
@article{arxiv.1303.3430,
title = {Towards the classification of integrable differential-difference equations in 2 + 1 dimensions},
author = {E. V. Ferapontov and V. S. Novikov and I. Roustemoglou},
journal= {arXiv preprint arXiv:1303.3430},
year = {2015}
}
Comments
16 pages