Invariant solutions of integro-differential VlasovMaxwell equations in Lagrangian variables by Lie group analysis
The Lie point symmetries of the VlasovMaxwell system in Lagrangian variables are investigated by using a direct method for symmetry group analysis of integro-differential equations, with emphasis on solving nonlocal determining equations. All similarity reduction forms for the system are obtained by using different approaches and some analytical and numerical solutions are presented.
lie point symmetries integro-differential equations reduction forms optimal system