Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-26T00:45:39.292Z Has data issue: false hasContentIssue false
  • English
  • Français

A two-dimensional ion acoustic solitary wave in a weakly relativistic plasma

Published online by Cambridge University Press:  13 March 2009

Yasunori Nejoh
Yasunori Nejoh
Affiliation:
Department of Physics, Hachinohe Institute of Technology, 88-1, Obiraki, Myo, Hachinohe, 031, Japan
Get access Rights & Permissions [Opens in a new window]

Abstract

The two-dimensional Korteweg-de Vries equation is first derived for a weakly relativistic ion acoustic wave propagating in a collisionless plasma. We show that the relativistic effect greatly influences the phase velocity, the amplitude and the width of a solitary wave solution, and that the presence of streaming ions gives rise to the formation of a precursor. We also discuss three limiting cases of the present results.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 3 , December 1987 , pp. 439 - 444
Copyright
Copyright © Cambridge University Press 1987

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

Arons, J. 1979 Space Sci. Rev. 24, 417.CrossRefGoogle Scholar
Chian, A. C. L. & Clemmow, P. C. 1975 J. Plasma Phys. 14, 505.CrossRefGoogle Scholar
Das, G. C. & Paul, S. N. 1985 Phys. Fluids, 28, 823.CrossRefGoogle Scholar
Ikezi, H., Taylor, R. J. & Baker, D. R. 1970 Phys. Rev. Lett. 25, 11.CrossRefGoogle Scholar
Kadomtsev, B. B. & Petviashvili, V. I. 1970 Soviet Phys. Dokl. 15, 539.Google Scholar
Nejoh, Y. 1987 J. Plasma Phys. 37, 487.CrossRefGoogle Scholar
Shukla, P. K., Yu, M. Y. & Tsintsadze, N. L. 1984 Phys. Fluids, 27, 327.CrossRefGoogle Scholar
Taniuti, T. 1974 Suppl. Prog. Theor. Phys. 55, 1.CrossRefGoogle Scholar
Vette, J. I. 1970 Particles and Fields in the Magnetosphere (ed. McCormac, B. M.), p. 305. Reidel.CrossRefGoogle Scholar
Washimi, H. & Taniuti, T. 1966 Phys. Rev. Lett. 17, 996.CrossRefGoogle Scholar