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

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  • E. V. Ferapontov
  • V. S. Novikov
  • I. Roustemoglou
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 generalization to dispersive equations as proposed in Ferapontov et al (2009 J. Phys. A: Math. Theor. 42 035211, 2009 J. Phys. A: Math. Theor. 42 345205). We obtain a number of classification results of scalar integrable equations including that of the intermediate long wave and Toda type.
Original languageEnglish
Article number245207
JournalJournal of Physics A: Mathematical and Theoretical
Volume46
Issue number24
DOIs
Publication statusPublished - 3 Jun 2013

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