FERAPONTOV, E.V., NOVIKOU, V.S. and ROUSTEMOGLOU, I., 2013. Towards the classification of integrable differential-difference equations in 2 + 1 dimensions. Journal of Physics A: Mathematical and Theoretical, 46, 24520.
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 as proposed in [10,11]. We obtain a number of classification results of scalar integrable equations including that of the intermediate long wave and Toda type
This paper was accepted for publication in the journal Journal of Physics A: Mathematical and Theoretical and the definitive published version is available at http://dx.doi.org/10.1088/1751-8113/46/24/245207
The research of EVF was partially supported by the European Research Council Advanced Grant FroM-PDE.