Hostname: page-component-848d4c4894-pjpqr Total loading time: 0 Render date: 2024-06-16T06:53:56.254Z Has data issue: false hasContentIssue false
  • English
  • Français

Modulational instability of two transverse waves in a cold plasma

Published online by Cambridge University Press:  13 March 2009

K. P. Das  and
S. Sihi
K. P. Das
Affiliation:
Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India
S. Sihi
Affiliation:
Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India
Get access Rights & Permissions [Opens in a new window]

Abstract

By Whitham's method of averaged Lagrangian developed by Dysthe, two coupled nonlinear Schrödiriger equations are obtained for the evolution of the amplitude of two plane polarized transverse waves in a cold plasma, both propagating in the same direction. Relativistic corrections are included and amplitude-dependent frequency shifts are derived. It is found that two transverse waves are modulationally unstable. The relativistic terms play an important part in this instability.

Type
Research Article
Information
Journal of Plasma Physics , Volume 21 , Issue 1 , February 1979 , pp. 183 - 191
Copyright
Copyright © Cambridge University Press 1979

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

Das, K. P., 1971, Phys. Fluids, 14, 2235.CrossRefGoogle Scholar
Dysthe, K. B., 1974, J. Plssma Phys. 11, 63.CrossRefGoogle Scholar
Inoue, Y., 1977, J. Phys. Soc. Japan, 43, 243.CrossRefGoogle Scholar
Longuet-Higgins, M S., 1976, Proc. Roy. Soc. A 347, 311.Google Scholar
Selim, A. A., 1974, J. Plasma Phys. 12, 287.CrossRefGoogle Scholar
Sluijter, F. W. & Montgomery, D., 1965, Phys. Fluids, 8, 551.CrossRefGoogle Scholar
Taniuti, T. & Yajima, N., 1969, J. Math. Phys. 10, 1369.CrossRefGoogle Scholar
Whitham, G. B., 1967, Proc. Roy. Soc. A 299, 6.Google Scholar