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Solitary waves in an ion-beam-plasma system

Published online by Cambridge University Press:  13 March 2009

Y. Nakamura  and
K. Ohtani
Y. Nakamura
Affiliation:
institute of Space and Astronautical Science, Yoshinodai, Sagamihara, Kanagawa 229, Japan
K. Ohtani
Affiliation:
institute of Space and Astronautical Science, Yoshinodai, Sagamihara, Kanagawa 229, Japan
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Abstract

Solitary waves in an ion-beam-plasma system are investigated theoretically using the pseudo-potential method, including finite temperatures of plasma ions and beam ions. The beam velocity is high enough to avoid ion-ion instability. Three kinds of solitary waves are possible, corresponding to ion- acoustic waves and to fast and slow space-charge waves in the beam. To observe the formation of solitary waves from an initial positive pulse, numerical simulations are performed. For the slow beam mode, a smaller solitary wave appears at the leading part of the pulse, which is a result of negative nonlinearity and anomalous dispersion of the slow mode, and is the opposite behaviour to the cases of the ion-acoustic wave and to the fast beam mode. Overtaking collisions of a solitary wave with a fast-mode solitary wave or with a slow-mode solitary wave are simulated.

Type
Research Article
Information
Journal of Plasma Physics , Volume 53 , Issue 2 , April 1995 , pp. 235 - 243
Copyright
Copyright © Cambridge University Press 1995

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References

REFERENCES

Dodd, R. K., Eilbeck, J. C., Gibbon, J. D. & Morris, H. C. 1983 Solitons and Nonlinear Wave Equations. Academic.Google Scholar
Grésillon, D. & Doveil, F. 1975 Phys. Rev. Lett 34, 77.CrossRefGoogle Scholar
Ikezi, H. 1978 Solitons in Action (ed. Lonngren, K. E. & Scott, A.), p. 153. Academic.Google Scholar
Infeld, E. & Rowlands, G. 1990 Nonlinear Waves, Solitons and Chaos. Cambridge University Press.Google Scholar
Lonngren, K. E. 1983 Plasma Phys. 25, 943.CrossRefGoogle Scholar
Nakamura, Y. 1982 IEEE Trans. Plasma Sci. 10, 180.CrossRefGoogle Scholar
Nakamura, Y. 1987 J. Plasma Phys. 38, 461.CrossRefGoogle Scholar
Nakamura, Y. & Ohtani, K. 1994 Abstracts of the Meeting of the Physical Society of Japan, Shizuoka, part 4, 217 (in Japanese).Google Scholar
Popel, S. I. & Elsässer, K., 1994 Phys. Lett. 190 A, 460.CrossRefGoogle Scholar
Tran, M. Q. 1979 Physica Scripta 20, 317.CrossRefGoogle Scholar
Yajima, N., Kono, M. & Ueda, S. 1983 J. Phys. Soc. Japana 52, 3414.CrossRefGoogle Scholar
Zabusky, N. J. & Kruskal, M. D. 1965 Phys. Rev. Lett. 15, 240.CrossRefGoogle Scholar