Vlasov equation in terms of canonical variables

The perturbation theory for the the Vlasov equation, based on the Hamiltonian expansion by degrees of the canonical variables deviation from the equilibrium values, is discussed. In contrast to the traditional approach this version of the perturbation theory in each order provides for the energy conservation. In particular the solutions of the linearized equations, transferring the energy and pulse, are plotted. The effect of the disintrigation processes on the development of the kinetic beam instability is studied