Fer-Nov-Rus.pdf (260.14 kB)
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 RoustemoglouWe 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 PublishingVersion
- 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
2013Notes
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/10.1088/1751-8113/46/24/245207ISSN
1751-8113eISSN
1751-8121Publisher version
Language
- en
