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Three-dimensional stability of solitary kinetic Alfvé waves and ion-acoustic waves

Published online by Cambridge University Press:  13 March 2009

G. Ghosh  and
K. P. Das
G. Ghosh
Affiliation:
Department of Mathemarics, Hooghly Mohsin College, Chinsurah, Hooghly, India
K. P. Das
Affiliation:
Department of Applied Mathematics, University of Calcutta, 92, Acharya Prafulla Chandra Road, Calcutta 700 009, India
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Abstract

Starting from a set of equations that lead to a linear dispersion relation coupling kinetic Alfvén waves and ion-acoustic waves, three-dimensional KdV equations are derived for these waves. These equations are then used to investigate the three-dimensional stability of solitary kinetic Alfvén waves and ion-acoustic waves by the small-k perturbation expansion method of Rowlands and Infeld. For kinetic Alfvén waves it is found that there is instability if the direction of the plane-wave perturbation lies inside a cone, and the growth rate of the instability attains a maximum when the direction of the perturbation lies in the plane containing the external magnetic field and the direction of propagation of the solitary wave.

Type
Research Article
Information
Journal of Plasma Physics , Volume 51 , Issue 1 , February 1994 , pp. 95 - 111
Copyright
Copyright © Cambridge University Press 1994

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