From infinitesimal symmetries to deformed symmetries of Lax-type equations

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Magnot, Jean-Pierre^1

Lycée Jeanne d'Arc, Avenue de Grand Bratagne, Clermont-Ferrand

F-63000, France^1

关键词: Power series;    Scaling parameter;    Time parameter;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012013/pdf
DOI  :  10.1088/1742-6596/633/1/012013

来源: IOP

【 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