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Ion-acoustic solitary waves in a weakly relativistic warm plasma at the critical phase velocity

Published online by Cambridge University Press:  13 March 2009

S. K. El-Labany ,
H. O. Nafie  and
A. El-Sheikh
S. K. El-Labany
Affiliation:
Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
H. O. Nafie
Affiliation:
Physics Department, Faculty of Science, Zagazig University, Benha, Egypt
A. El-Sheikh
Affiliation:
Physics Department, Faculty of Science, Mansoura University, Mansoura, Egypt
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Abstract

Ion-acoustic solitary waves in a weakly relativistic warm plasma at the critical phase velocity are investigated using reductive perturbation theory. The basic set of fluid equations describing the system is reduced to a renormalized warmion modified Korteweg—de Vries (mKdV) equation for the first-order perturbed potential and a renormalized linear inhomogeneous equation for the second-order perturbed potential. The stationary solution of the coupled equations is obtained. The cold-plasma limit is considered in order to rule comparisons with work of Pakira et al.

Type
Research Article
Information
Journal of Plasma Physics , Volume 56 , Issue 1 , August 1996 , pp. 13 - 24
Copyright
Copyright © Cambridge University Press 1996

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References

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