  An application of approximate transformation groups to study dynamics of a
system with distinct time scales is discussed. The utilization of the
Krylov-Bogoliubov-Mitropolsky method of averaging to find solutions of the Lie
equations is considered. Physical illustrations from the plasma kinetic theory
demonstrate the potentialities of the suggested approach. Several examples of
invariant solutions for the system of the Vlasov-Maxwell equations for the
two-component (electron-ion) plasma are presented.
