title: Analytic solutions to the Vlasov equations for expanding plasmas.
abstract: The renormalization-group approach is applied to derive an exact solution to the self-consistent Vlasov kinetic equations for plasma particles in the quasineutral approximation. The solutions obtained describe three-dimensional adiabatic expansion of a plasma bunch with arbitrary initial velocity distributions of the electrons and ions. The solution found is illustrated by the examples on ion acceleration in a plasma with hot electrons and in a plasma with light impurity ions.
authors.affiliation: Institute for Mathematical Modelling, Russian Academy of Sciences, Moscow 125047, Russia.
authors.forename: V F
authors.initials: VF
authors.lastname: Kovalev
authors.forename: V Yu
authors.initials: VY
authors.lastname: Bychenkov