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Stability of solitary waves in a magnetized non-thermal plasma

Published online by Cambridge University Press:  13 March 2009

A. A. Mamun  and
R. A. Cairns
A. A. Mamun
Affiliation:
School of Mathematical and Computational Sciences, Universitiy of St Andrews, St Andrews, Fife KY16 9SS, U.K.
R. A. Cairns
Affiliation:
School of Mathematical and Computational Sciences, Universitiy of St Andrews, St Andrews, Fife KY16 9SS, U.K.
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Abstract

A theoretical investigations is made of the stability of electrostatic waves in a magnetized non-thermal plasma. The Zakharov-Kuznetsov equation (or Korteweg-de Vries equation in three dimensionas) for these solitary waves in this plasma system is derived, and their three-dimensional stability is studied by the small-k (long wavelength plane-wave) perturbation expansion method. The instability criterion and its growth rate depending on the magnetic field and the propagation directions of the solitary wave and its perturbation mode are discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 56 , Issue 1 , August 1996 , pp. 175 - 185
Copyright
Copyright © Cambridge University Press 1996

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