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Higher-order corrections to the ion-acoustic waves in a relativistic plasma (isothermal case)

Published online by Cambridge University Press:  13 March 2009

Gobinda Pada Pakira ,
A. Roy Chowdhury  and
S. N. Paul
Gobinda Pada Pakira
Affiliation:
High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta-32, India
A. Roy Chowdhury
Affiliation:
High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta-32, India
S. N. Paul
Affiliation:
Serampore Girl's College, 13, T. C. Goswami Street, Serampore, Hooghly, India
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Abstract

As a continuation of our earlier work, we have analysed the higher-order perturbative corrections to the formation of (ion-acoustic) solitary waves in a relativistic plasma. It is found that the relativistic considerations affect the amplitude and width variation - as conjectured in our previous paper. Our analysis employs a higher-order singular perturbation technique, with the elimination of secular terms in stages. In this way we arrive at an inhomogeneous KdV-type equation, which is then solved exactly. At this point a new phenomena arises at a critical value of the phase velocity at which the coefficient of the nonlinear term in the KdV equation vanishes. A new set of stretched co-ordinate is then used to derive a modified KdV equation. In both cases we have numerically computed the specific physical profile of the new solitary wave and its width.

Type
Research Article
Information
Journal of Plasma Physics , Volume 40 , Issue 2 , October 1988 , pp. 359 - 367
Copyright
Copyright © Cambridge University Press 1988

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References

REFERENCES

Das, G. C. & Paul, S. N. 1985 Phys. Fluids, 28, 823.CrossRefGoogle Scholar
Jones, W. D., Lee, A., Gleeman, X. & Doucel, H. J. 1975 Phys. Rev. Lett. 35, 1349.CrossRefGoogle Scholar
Kodama, X. & Taniuti, T. 1978 J. Phys. Soc. Jpn, 45, 298.CrossRefGoogle Scholar
Kalita, M. K. & Bujurbarua, S. 1982 Can. J. Phys. 60, 392.CrossRefGoogle Scholar
Lai, C. S. 1979 Can. J. Phys. 57, 490.CrossRefGoogle Scholar
Lonngren, K. E. 1983 Plasma Phys. 25, 943.CrossRefGoogle Scholar
Schamel, H. 1973 J. Plasma Phys. 9, 377.CrossRefGoogle Scholar
Sharma, S. N., Kalita, M. K. & Bujurbarua, S. 1986 Beitr. Plasma Phys. 26, 367.CrossRefGoogle Scholar
Tagare, S. G. 1973 Plasma Phys. 15, 1247.CrossRefGoogle Scholar
Tagare, S. G. & Virupokshi, R. 1986 J. Plasma Phys. 35, 267CrossRefGoogle Scholar
Washimi, H. & Taniuti, T. 1966 Phys. Rev. Lett. 19, 966.Google Scholar