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On the stability of nonlinear magneto-sonic waves in a collisionless plasma

Published online by Cambridge University Press:  13 March 2009

V. V. Demchenko  and
A. M. Hussein
V. V. Demchenko
Affiliation:
Atomic Energy Authority, Cairo
A. M. Hussein
Affiliation:
Atomic Energy Authority, Cairo
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Abstract

The stability of a magneto-sonic wave of small (but finite) amplitude, propagating in a low- β plasma across a magnetic field, is investigated. It is shown that such a wave is unstable with respect to parametric splitting into many satellite waves. Wavenumbers of the satellite waves differ from that of the original magneto-sonic wave. Thus, the sateffite waves leave an interaction space, and form oscillating ‘tails ’ in front of and behind the initial pulse.

Type
Research Article
Information
Journal of Plasma Physics , Volume 10 , Issue 3 , December 1973 , pp. 459 - 468
Copyright
Copyright © Cambridge University Press 1973

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