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Propagation of nonlinear waves in a plasma in a magnetic field

Published online by Cambridge University Press:  13 March 2009

Jeffrey P. Freidberg
Jeffrey P. Freidberg
Affiliation:
Courant Institute of Mathematical Sciences, New York University
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Abstract

The propagation of nonlinear electromagnetic waves in a plasma is investigated by seeking travelling wave solutions to the macroscopic plasma equations. The model considered is that of a warm, anisotropic electron plasma in a magnetic field, in which the waves are allowed to propagate at any angle with respect to the magnetic field. A nonlinear dispersion relation is obtained which is valid for frequencies sufficiently close to the resonant frequencies. Travelling wave solutions are found for all amplitudes for which the local density remains positive. Also in sufficiently anisotropic plasmas the nature (i.e. propagating or cut-off) of one of the resonant waves can depend upon the amplitude.

Type
Research Article
Information
Journal of Plasma Physics , Volume 2 , Issue 2 , June 1968 , pp. 105 - 118
Copyright
Copyright © Cambridge University Press 1968

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