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Self-focusing of nonlinear ion-acoustic waves and solitons in magnetized plasmas. Part 2. Numerical simulations, two-soliton collisions

Published online by Cambridge University Press:  13 March 2009

E. Infeld  and
P. Frycz
E. Infeld
Affiliation:
Institute for Nuclear Studies, Hoża 69, Warsaw 00-681
P. Frycz
Affiliation:
Institute for Nuclear Studies, Hoża 69, Warsaw 00-681
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Abstract

Nonlinear waves and solitons satisfying the Zakharov-Kuznetsov equation for a dilute plasma immersed in a strong magnetic field are studied numerically. Growth rates of perpendicular instabilities, found theoretically in part 1, are confirmed and extended to arbitrary wavelengths of the perturbations (the calculations of part 1 were limited to long-wave perturbations). The effects of instabilities on nonlinear waves and solitons are illustrated graphically. Pre-vious, approximate results of other authors on the perpendicular growth rates for solitons are improved on. Similar results for perturbed nonlinear waves are presented. The effects of two-soliton collisions on instabilities are investigated. Rather surprisingly, we find that the growth of instabilities can be retarded by collisions. Instabilities can also be transferred from one soliton to another in a collision. This paper can be read independently of part 1.

Type
Research Article
Information
Journal of Plasma Physics , Volume 37 , Issue 1 , February 1987 , pp. 97 - 106
Copyright
Copyright © Cambridge University Press 1987

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References

REFERENCES

Fornberg, B. & Whitham, G. B. 1978 Philos. Trans. Roy. Soc. 289, 373.Google Scholar
Infeld, E. 1972 J. Plasma Phys. 8, 105.CrossRefGoogle Scholar
Infeld, E. 1981 Acta Phys. Polon. A 60, 623.Google Scholar
Infeld, E. 1985 J. Plasma Phys. 33, 171.CrossRefGoogle Scholar
Infeld, E., Frycz, P. & Lenkowska-Czerwińska, T. 1985 Lett. Nuovo Cimento, 44, 537.CrossRefGoogle Scholar
Infeld, E., Rowlands, G. & Hen, M. 1978 Acta Phys. Polon. A 54, 113.Google Scholar
Infeld, E. & Rowlands, G. 1979 Acta Phys. Polon. A 56, 329.Google Scholar
Kadomtsev, B. B. & Petviashvili, V. I. 1970 Soviet Phys. Doklady, 15, 539.Google Scholar
Kako, M. & Rowlands, G. 1976 Plasma Phys. 18, 165.CrossRefGoogle Scholar
Laedke, E. W. & Spatschek, K. H. 1982 J. Plasma Phys. 28, 469.CrossRefGoogle Scholar
Makhankov, V. G. 1978 Phys. Reports, 35, 1.CrossRefGoogle Scholar
Malifiet, W. 1982 International Conference on Plasma Physics, Göteborg, p. 169.Google Scholar
Rowlands, G. 1969 J. Plasma Phys. 3, 567.CrossRefGoogle Scholar
Zakharov, V. E. & Kuznetsov, E. A. 1974 Soviet Phys. JETP, 39, 285.Google Scholar