From infinitesimal symmetries to deformed symmetries of Lax-type equations (1502.03070v1)

Published 10 Feb 2015 in math.AP, math.DG, and math.GR

Abstract: Using the procedure initiated in \cite{Ma2013}, we deform Lax-type equations though a scaling of the time parameter. This gives an equivalent (deformed) equation which is integrable in terms of power series of the scaling parameter. We then describe a regular Fr\"olicher Lie group of symmetries of this deformed equation