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

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journal contribution
posted on 04.02.2016 by Evgeny Ferapontov, Vladimir 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

© 13 IOP Publishing

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

ISSN

1751-8113

eISSN

1751-8121

Language

en

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