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A perturbation method for the Vlasov–Poisson system

Published online by Cambridge University Press:  01 August 1998

JONAS LUNDBERG  and
TOR FLÅ
JONAS LUNDBERG
Affiliation:
Department of Physics, Luleå University of Technology, SE-971 87 Luleå, Sweden
TOR FLÅ
Affiliation:
Institute of Mathematical and Physical Science, University of Tromsø, N-9037 Tromsø, Norway
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Abstract

A perturbation method for the Vlasov–Poisson system is presented. It is self-consistent and entirely based on Lie transformations, which are considered as active transformations, generating the dynamics of the particle distribution function in the space of distribution functions. The main result is a set of three equations that forms a good starting point for a wide variety of problems concerning nonlinear wave propagation. Besides being efficient, the new perturbation method is systematic and therefore also suited for the use of computer algebra.

Type
Research Article
Information
Journal of Plasma Physics , Volume 60 , Issue 1 , August 1998 , pp. 181 - 192
Copyright
© 1998 Cambridge University Press

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