Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-30T01:12:40.288Z Has data issue: false hasContentIssue false

Stability of non-linear plasma waves

Published online by Cambridge University Press:  13 March 2009

G. Rpwlands
Affiliation:
School of Physics, University of Warwick, Coventry, England

Abstract

The stability of a stationary non-linear wave set up by two counter-streaming cold beams of electrons immersed in a background of stationary ions is examined without recourse to an expansion in terms of the amplitude of this wave. It is found that this wave is unstable to small perturbations and hence one would not expect such waves to exist in practice.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1969

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.CrossRefGoogle Scholar
Ince, , 1927 Ordinary Differential Equations. London: Longmans.Google Scholar
Minorsey, N. 1962 Non-linear Mechanics. Van Nostrand.Google Scholar
Montgomery, D. 1960 Phys. Fluids 3, 274.Google Scholar