A discrete linearizability test based on multiscale analysis

Details A discrete linearizability test based on multiscale analysis A discrete linearizability test based on multiscale analysis

2010-10-31

arxiv.org/abs/1011.0141v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution. We show that the A_1, A_2 and A_3 linearizability conditions restrain the number of the parameters which enter into the equation. A subclass of the equations which pass the A_3 C-integrability conditions can be linearized by a Mobius transformation.

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