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

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 clas...

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Bibliographic Details
Main Authors: Evgeny Ferapontov, Vladimir Novikov, Ilia Roustemoglou
Format: Default Article
Published: 2013
Subjects:
Other mathematical sciences not elsewhere classified
Differential-difference equations in 2+1D
Integrability
Hydrodynamic reductions
Dispersive deformations
Lax pairs
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/20228
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