LIE GROUP ANALYSIS FOR MULTI-SCALE PLASMA DYNAMICS

LIE GROUP ANALYSIS FOR MULTI-SCALE PLASMA DYNAMICS

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 theo...

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Veröffentlicht in:Journal of nonlinear mathematical physics 2011-05, Vol.18 (Suppl 1), p.163-175
1. Verfasser: KOVALEV, VLADIMIR F.
Format: Artikel
Sprache:eng
Schlagworte:
Approximate transformation groups
Approximation
Dynamic tests
Dynamical systems
Invariants
Kinetic theory
Lie groups
Mathematical analysis
Maxwell's equations
method of averaging
Nonlinear dynamics
Plasma dynamics
Transformations
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Zusammenfassung: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.
ISSN:1402-9251
1776-0852
1776-0852
DOI:10.1142/S1402925111001349