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A two-dimensional ion acoustic solitary wave in a weakly relativistic plasma

Published online by Cambridge University Press:  13 March 2009

Yasunori Nejoh
Yasunori Nejoh
Affiliation:
Department of Physics, Hachinohe Institute of Technology, 88-1, Obiraki, Myo, Hachinohe, 031, Japan
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Abstract

The two-dimensional Korteweg-de Vries equation is first derived for a weakly relativistic ion acoustic wave propagating in a collisionless plasma. We show that the relativistic effect greatly influences the phase velocity, the amplitude and the width of a solitary wave solution, and that the presence of streaming ions gives rise to the formation of a precursor. We also discuss three limiting cases of the present results.

Type
Research Article
Information
Journal of Plasma Physics , Volume 38 , Issue 3 , December 1987 , pp. 439 - 444
Copyright
Copyright © Cambridge University Press 1987

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