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arXiv · 1303.3430

Towards the classification of integrable differential-difference equations in 2 + 1 dimensions

E. V. Ferapontov·V. S. Novikov·I. Roustemoglou
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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.

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E. V. Ferapontov, V. S. Novikov, I. Roustemoglou. 2013-03-14. Towards the classification of integrable differential-difference equations in 2 + 1 dimensions. https://doi.org/10.1088/1751-8113/46/24/245207

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