Towards the classification of integrable differential-difference equations in 2 + 1 dimensions
journal contributionposted on 04.02.2016 by Evgeny Ferapontov, Vladimir Novikov, Ilia Roustemoglou
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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
The research of EVF was partially supported by the European Research Council Advanced Grant FroM-PDE.
- Mathematical Sciences