Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-26T00:33:02.489Z Has data issue: false hasContentIssue false
  • English
  • Français

Weakly relativistic effect on the modulation of nonlinear ion-acoustic waves in a warm plasma

Published online by Cambridge University Press:  13 March 2009

S. K. El-Labany
S. K. El-Labany
Affiliation:
Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
Get access Rights & Permissions [Opens in a new window]

Abstract

The derivative expansion perturbation method is applied to investigate the modulation of nonlinear ion-acoustic waves in a weakly relativistic warm plasma. At the second order of perturbation theory, a nonlinear Schrödingertype equation for the complex amplitude of the perturbed ion density is obtained. The coefficients in this equation show that the condition of modulational stability is modified by the relativistic effect as well as by the finite ion temperature. The association between the small-wavenumber limit of the nonlinear Schrödinger-type equation and the oscillatory solution of the Korteweg-de Vries equation obtained by reductive perturbation theory is considered. Different limits are considered in order to compare with previous work.

Type
Research Article
Information
Journal of Plasma Physics , Volume 54 , Issue 3 , December 1995 , pp. 295 - 308
Copyright
Copyright © Cambridge University Press 1995

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

El-labany, S. K. 1991 Astrophys. Space Sci. 182, 241.CrossRefGoogle Scholar
El-Labany, S. K. 1993 J. Plasma Phys. 50, 495.CrossRefGoogle Scholar
El-Labany, S. K. & El-Hanbaly, A. M. 1995 Nuovo Cim. (accepted for publication).Google Scholar
Ichikawa, Y., Imamura, T. & Taniuti, T. 1972 J. Phys. Soc. Jpn 32, 2.Google Scholar
Infeld, E. & Rowlands, G. 1981 J. Plasma Phys. 25, 81.CrossRefGoogle Scholar
Infeld, E. & Rowlands, G. 1990 Nonlinear Waves, Solitons and Chaos. Cambridge University Press.Google Scholar
Kakutani, T. & Sugimoto, N. 1974 Phys. Fluids 17, 1617.CrossRefGoogle Scholar
Kawahara, T. 1973 J. Phys. Soc. Jpn 35, 1537.CrossRefGoogle Scholar
Nejoh, Y. 1987. J. Plasma Phys. 37, 487.CrossRefGoogle Scholar
Nejoh, Y. 1988 Phys. Fluids 31, 2914.CrossRefGoogle Scholar
Parkes, E. J. 1987 J. Phys. A: Math. Gen. 20, 3653.CrossRefGoogle Scholar
Shimizu, K. & Ichikawa, Y. H. 1972 J. Phys. Soc. Jpn 33, 789.CrossRefGoogle Scholar