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Three-dimensional stability of ion-acoustic solitary waves in a magnetized plasma consisting of non-isothermal electrons

Published online by Cambridge University Press:  01 February 1998

G. GHOSH  and
K. P. DAS
G. GHOSH
Affiliation:
Department of Mathematics, Jhargram Raj College, Jhargram, Midnapore, India
K. P. DAS
Affiliation:
Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700009, India
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Abstract

A stability analysis is performed for solitary ion-acoustic waves in a magnetized plasma in which the electrons are non-isothermal. Including the effect of ion drift velocity and magnetic perturbation, a three-dimensional mKdV equation is derived for ion-acoustic waves. The solitary-wave solution of this equation is found to have a sech4 profile. A stability analysis of this solitary wave is performed using the small-k perturbation expansion method of Rowlands and Infeld. A condition for the onset of instability is obtained. The growth rate of the instability is found to attain a maximum for perturbations in the plane perpendicular to the direction of propagation of the solitary wave.

Type
Research Article
Information
Journal of Plasma Physics , Volume 59 , Issue 2 , February 1998 , pp. 333 - 342
Copyright
© 1998 Cambridge University Press

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