Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-30T15:57:30.467Z Has data issue: false hasContentIssue false

Arbitrary-amplitude theory of ion-acoustic solitons in warm multi-fluid plasmas

Published online by Cambridge University Press:  13 March 2009

S. Baboolal
Affiliation:
Department of Applied Mathematics† and Physics‡, University of Durban-Westville, Private Bag X54001, Durban 4000 and Plasma Physics Research Institute, Department of Physics, University of Natal, Durban 4001, South Africa
R. Bharuthram
Affiliation:
Department of Applied Mathematics† and Physics‡, University of Durban-Westville, Private Bag X54001, Durban 4000 and Plasma Physics Research Institute, Department of Physics, University of Natal, Durban 4001, South Africa
M. A. Hellberg
Affiliation:
Plasma Physics Research Institute, Department of Physics, University of Natal, Durban 4001, South Africa

Abstract

A recently described numerical theory for obtaining the Sagdeev and real potential profiles of stationary wave forms in a plasma consisting of double-Maxwellian electrons and two or more species of warm ions is used for the study of solitons in such a plasma. The effects of ion temperature and light-ion concentration on rarefactive ion-acoustic soliton profiles in a double-ion plasma obtained with this large-amplitude theory are compared with those predicted from a Korteweg–de Vries equation. Application of the theory to the work of Nakamura and co-workers is discussed, and we draw attention to ion thermal effects.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

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

Baboolal, S., Bharuthram, R. & Hellberg, M. A. 1988 J. Plasma Phys. 40, 163.CrossRefGoogle Scholar
Bharuthram, R. & Shukla, P. K. 1986 Phys. Fluids, 29, 3214.CrossRefGoogle Scholar
Buti, B. 1980 Phys. Lett. 76A, 251.CrossRefGoogle Scholar
Das, G. C. 1977 Plasma Phys. 19, 363.CrossRefGoogle Scholar
Das, G. C. & Tagare, S. G. 1975 Plasma Phys. 17, 1025.Google Scholar
Goswami, B. N. & Buti, B. 1976 Phys. Lett. 57A, 149.Google Scholar
Ludwig, G. O., Ferreira, J. L. & Nakamura, Y. 1984 Phys. Rev. Lett. 52, 275.CrossRefGoogle Scholar
Nakamura, Y. 1982 IEEE Trans. Plasma Sci. 10, 180.Google Scholar
Nakamura, Y. 1985 Nonlinear and Environmental Electromagnetics (ed. Kikuchi, H.), p. 139. Eisevier.Google Scholar
Nakamura, Y. 1987 a Proceedings of 18th International Conference on Phenomena in Ionized Gases. Swansea, U.K., Invited Papers, p. 116.Google Scholar
Nakamura, Y. 1987 b J. Plasma Phys. 38, 461.Google Scholar
Nakamura, Y., Ferreira, J. L. & Ludwig, G. O. 1985 a J. Plasma Phys. 33, 237.Google Scholar
Nakamura, Y. & Tsukabayashi, I. 1984 Phys. Rev. Lett. 52, 2356.CrossRefGoogle Scholar
Nakamura, Y. & Tsukabayashi, I. 1985 J. Plasma Phys. 34, 401.CrossRefGoogle Scholar
Nakamura, Y., Tsukabayashi, I., Ludwig, G. O. & Ferreira, J. L. 1985 b Phys. Lett. 113A, 155.CrossRefGoogle Scholar
Nishihara, K. & Tajiri, M. 1981 J. Phys. Soc. Jpn, 50, 4047.CrossRefGoogle Scholar
Raychaudhuri, S., Gabl, E. F., Das, K. P. & Sengupta, S. N. 1985 Plasma Phys. Contr. Fusion. 27, 299.Google Scholar
Sagdeev, R. Z. 1966 Reviews of Plasma Physics, vol. 4 (ed. Leontovich, M. A.), p. 23. Consultants Bureau.Google Scholar
Sakanaka, P. N. 1972 Phys. Fluids, 15, 304.CrossRefGoogle Scholar
Tagare, S. G. 1973 Plasma Phys. 15, 1247.Google Scholar
Tagare, S. G. 1986 J. Plasma Phys. 36, 301.Google Scholar
Tagare, S. G. 1987 J. Plasma Phys. 37, 322.CrossRefGoogle Scholar
Tagare, S. G. & Reddy, R. V. 1987 Plasma Phys. Contr. Fusion, 29, 671.CrossRefGoogle Scholar
Tajiri, M. & Toda, M. 1985 J. Phys. Soc. Jpn, 54, 19.Google Scholar
Tappert, F. 1972 Phys. Fluids, 15, 2446.CrossRefGoogle Scholar
Tran, M. Q. 1974 Plasma Phys. 16, 1167.CrossRefGoogle Scholar
Tran, M. Q. & Hollenstein, C. 1977 Phys. Rev. A16, 1284.CrossRefGoogle Scholar
Verheest, F. 1988 J. Plasma Phys. 39, 71.CrossRefGoogle Scholar
Washimi, H. & Taniuti, T. 1966 Phys. Rev. Lett. 17, 996.Google Scholar
Watanabe, S. 1984 J. Phys. Soc. Jpn, 53, 950.Google Scholar