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Two-dimensional self-modulation of a whistler wave propagating along the magnetic field in a plasma

Published online by Cambridge University Press:  13 March 2009

V. I. Karpman  and
H. Washimi
V. I. Karpman
Affiliation:
Institute for Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Moscow Region 142092, USSR
H. Washimi
Affiliation:
Institute for Terrestrial Magnetism, Ionosphere and Radio Wave Propagation, Moscow Region 142092, USSR
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Abstract

Two-dimensional nonlinear self-modulations of a high-frequency whistler wave propagating along an applied magnetic field in a plasma are investigated. We derive new, fairly broad, regions of modulational instabilities in directions oblique to the initial wave propagation with growth rates much greater than in the case of ‘parallel’ self-modulation. The largest growth rate appears to be for the angles corresponding to the parametric instabilities. Nonlinear solutions describing the envelope solitons propagating obliquely to the initial wave are also discussed. Our results are in qualitative agreement with recent experiments.

Type
Research Article
Information
Journal of Plasma Physics , Volume 18 , Issue 1 , August 1977 , pp. 173 - 187
Copyright
Copyright © Cambridge University Press 1977

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References

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