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Title: Towards the classification of integrable differential-difference equations in 2 + 1 dimensions
Authors: Ferapontov, E.V.
Novikov, V.S.
Roustemoglou, Ilia
Keywords: Differential-difference equations in 2+1D
Integrability
Hydrodynamic reductions
Dispersive deformations
Lax pairs
Issue Date: 2013
Publisher: © 13 IOP Publishing
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.
Abstract: 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
Description: 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
Sponsor: The research of EVF was partially supported by the European Research Council Advanced Grant FroM-PDE.
Version: Accepted for publication
DOI: 10.1088/1751-8113/46/24/245207
URI: https://dspace.lboro.ac.uk/2134/20228
Publisher Link: http://dx.doi.org/10.1088/1751-8113/46/24/245207
ISSN: 1751-8113
Appears in Collections:Published Articles (Maths)

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