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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

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