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Influence of dispersion on the modulational instability of a whistler wave

Published online by Cambridge University Press:  13 March 2009

V. I. Karpman  and
A. G. Shagalov
V. I. Karpman
Affiliation:
IZMIRAN, Academic City, Troitsk, Moscow Region, 142092, U.S.S.R.
A. G. Shagalov
Affiliation:
IZMIRAN, Academic City, Troitsk, Moscow Region, 142092, U.S.S.R.
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Abstract

The modulational instability of a whistler wave propagating along an external magnetic field is investigated, taking into account the dispersion of the low-frequency modulations. The dispersive effects are significant if the modulation frequencies Ω are comparable to or greater than the ion cyclotron frequency ωci. It is shown that in this case there are four unstable branches: the long-wave modulational instability and three others with much larger growth rates. At Ω≪ωci the latter correspond to fast magnetic sound, Alfvén and slow magnetic sound branches.

Type
Research Article
Information
Journal of Plasma Physics , Volume 41 , Issue 2 , April 1989 , pp. 289 - 300
Copyright
Copyright © Cambridge University Press 1989

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References

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