NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
The general Lie group and similarity solutions for the one-dimensional Vlasov-Maxwell equationsThe general Lie point transformation group and the associated reduced differential equations and similarity forms for the solutions are derived here for the coupled (nonlinear) Vlasov-Maxwell equations in one spatial dimension. The case of one species in a background is shown to admit a larger group than the multispecies case. Previous exact solutions are shown to be special cases of the above solutions, and many of the new solutions are found to constrain the form of the distribution function much more than, for example, the BGK solutions do. The individual generators of the Lie group are used to find the possible subgroups. Finally, a simple physical argument is given to show that the asymptotic solution for a one-species, one-dimensional plasma is one of the general similarity solutions.
Document ID
19850062167
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Roberts, D.
(Washington University St. Louis, MO, United States)
Date Acquired
August 12, 2013
Publication Date
April 1, 1985
Publication Information
Publication: Journal of Plasma Physics
Volume: 33
ISSN: 0022-3778
Subject Category
Plasma Physics
Accession Number
85A44318
Distribution Limits
Public
Copyright
Other

Available Downloads

There are no available downloads for this record.
No Preview Available