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

Ferapontov, Evgeny; Novikov, Vladimir; Roustemoglou, Ilia

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

journal contribution

posted on 2016-02-04, 15:05 authored by Evgeny FerapontovEvgeny Ferapontov, Vladimir NovikovVladimir Novikov, Ilia 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 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

Funding

The research of EVF was partially supported by the European Research Council Advanced Grant FroM-PDE.

History

School

Science

Department

Mathematical Sciences

Published in

Journal of Physics A: Math.Theor.

Citation

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.

Publisher

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2013

Notes

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