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.
Heredero, R.h., Levi, D., Scimiterna, C. (2010). A discrete linearizability test based on multiscale analysis. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 43(50) [10.1088/1751-8113/43/50/502002].
A discrete linearizability test based on multiscale analysis
LEVI, Decio;
2010-01-01
Abstract
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
