Hostname: page-component-84b7d79bbc-g7rbq Total loading time: 0 Render date: 2024-08-01T19:11:45.680Z Has data issue: false hasContentIssue false

On the stability of nonlinear cold plasma waves

Published online by Cambridge University Press:  13 March 2009

Eryk Infeld
Affiliation:
Institute of Nuclear Research, Hoza 69, Warsaw, Poland

Abstract

The exact form of a nonlinear, stationary wave, travelling against a background of cold plasma, is investigated for stability. The result is that it is marginally stable, and therefore can exist in practice. This is found without expanding in the wave amplitude. Another problem, that of a nonlinear wave at rest against a background of two counter-streaming cold electron beams, is also commented on.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1972

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

Bernstein, I. B., Kruskal, M. & Greene, J. 1957 Phys. Rev. 108, 546.Google Scholar
Butler, D. S. & Gribben, R. J. 1968 J. Plasma Phys. 2, 257.CrossRefGoogle Scholar
Doetsch, G. 1971 Guide to the Applications of the Laplace and Z Transforms. Van Nostrand.Google Scholar
Drummond, J. E. 1961 Plasma Physics. McGraw-Hill.Google Scholar
Goldman, M. 1970 Phys. Fluids, 13, 1281.Google Scholar
Manheimer, W. M. 1971 Phys. Rev. 3, 1402.Google Scholar
Manheimer, W. M. & Dupree, T. M. 1968 Phys. Fluids, 11, 2709.CrossRefGoogle Scholar
Montgomery, D. 1960 Phys. Fluids, 3, 274.CrossRefGoogle Scholar
Montgomery, D. & Joyce, G. 1969 J. Plasma Phys. 3, 1.CrossRefGoogle Scholar
Rowlands, G. 1969 J. Plasma Phys. 3, 567.Google Scholar
Schamel, H. 1972 J. Plasma Phys. 7, 1.CrossRefGoogle Scholar