From infinitesimal symmetries to deformed symmetries of Lax-type equations

[摘要] Using the procedure initiated in [14], 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 Frolicher Lie group of symmetries of this deformed equation

[发布机构] Lycée Jeanne d'Arc, Avenue de Grand Bratagne, Clermont-Ferrand; F-63000, France^1

[效力级别] 数学

[关键词] Power series;Scaling parameter;Time parameter