Hostname: page-component-5c6d5d7d68-wtssw Total loading time: 0 Render date: 2024-08-28T09:03:06.390Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Akhiezer, A. I., Polovin, R. V., Sitenko, A. G. & Stepanov, K. N. 1974 Elektrodinamika Plasmy (Plasma Electrodynamics). Nauka.Google Scholar
Galeev, A. A. & Sagdeev, R. Z. 1973 Voprosy Teorii Plasmy (Problems of Plasma Theory) (ed. M. A. Leontovich), vol. 7, p. 3.Google Scholar
Karpman, V. I. 1975 Nonlinear Waves in Dispersive Media. Pergamon.Google Scholar
Karpman, V. I. & Kaufman, R. N. 1982 Physica Scripta, T2/1. 252. Erratum: 1984. 29, 288.CrossRefGoogle Scholar
Karpman, V. I. & Shagalov, A. G. 1982 J. Plasma Phys. 27, 215.CrossRefGoogle Scholar
Karpman, V. I. & Shagalov, A. G. 1987 J. Plasma Phys. 38, 155.CrossRefGoogle Scholar
Karpman, V. I. & Shagalov, A. G. 1988 J. Plasma Phys. 39, 1.CrossRefGoogle Scholar
Karpman, V. I. & Washimi, H. 1977 J. Plasma Phys. 18, 173.CrossRefGoogle Scholar
Stenflo, L., Yu, M. Y. & Shukla, P. K. 1986 J. Plasma Phys. 36, 447.CrossRefGoogle Scholar