Symmetries of the discrete Burgers equation

@article{Heredero1999SymmetriesOT,
  title={Symmetries of the discrete Burgers equation},
  author={Rafael Hern'andez Heredero and Decio Levi and Pavel Winternitz},
  journal={Journal of Physics A},
  year={1999},
  volume={32},
  pages={2685-2695}
}
A discrete Cole-Hopf transformation is used to derive a discrete Burgers equation that is linearizable to a discrete heat equation. A five-dimensional symmetry algebra is obtained that reduces to the Lie point symmetry algebra of the usual Burgers equation, in the continuous limit. This Lie algebra is used to obtain explicit invariant solutions. 
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