Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-29T17:00:00.760Z Has data issue: false hasContentIssue false
  • English
  • Français

Nonlinear electrostatic waves: oblique propagation

Published online by Cambridge University Press:  13 March 2009

R. W. Jackson
R. W. Jackson
Affiliation:
Department of Electrical Engineering, Northeastern University, Boston, Massachusetts 02115
Get access Rights & Permissions [Opens in a new window]

Abstract

The fluid equations for electrostatic wave forms propagating at small angles to a constant magnetic field are investigated. Both ion cyclotron and charge separation effects are included. Numerical results are given for initial conditions which are consistent with soliton formation. These results show a hybrid nonlinear wave form containing oscillations which are identified as short-wavelength fast ion-acoustic waves and long-wavelength slow ion-acoustic waves. An approximate analytic analysis is performed using the Bogoliubov–Krylov–Mitropolskii perturbation method.

Type
Research Article
Information
Journal of Plasma Physics , Volume 26 , Issue 3 , December 1981 , pp. 399 - 406
Copyright
Copyright © Cambridge University Press 1981

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

Bogoliubov, N. & Mitropolskii, Y. A. 1961 Asymptotic Methods in the Theory of Nonlinear Oscillations. Gordon and Breach.Google Scholar
Davidson, R. C. 1972 Methods in Nonlinear Plasma Physics. Academic.Google Scholar
Jackson, R. W. & Golden, K. I. 1979 J. Plasma Phys. 22, 491.CrossRefGoogle Scholar
Minorsky, N. 1962 Nonlinear Oscillations. Van Nostrand.Google Scholar
Sagdeev, R. Z. 1979 Rev. Mod. Phys. 51, 16.Google Scholar
Stringer, T. E. 1963 Plasma Phys. (J. Nuc. Energy C), 5, 89.CrossRefGoogle Scholar
Temerin, M., Woldorff, M. & Mozer, F. S. 1979 Phys. Rev. Lett. 43, 1941.CrossRefGoogle Scholar
Yu, M. Y., Shukla, P. K. & Bujarbarua, S. 1980 Phys. Fluids, 23, 2146.CrossRefGoogle Scholar
Zukharov, V. E. & Kuznetsov, E. A. 1974 Soviet Phys. JETP, 39, 285.Google Scholar