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Growth rate of instability of obliquely propagating ion-acoustic solitons in a magnetized non-thermal plasma

Published online by Cambridge University Press:  23 July 2001

ANUP BANDYOPADHYAY  and
K. P. DAS
ANUP BANDYOPADHYAY
Affiliation:
Serampore College, Hooghly, West Bengal, 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

The Korteweg–de Vries–Zakharov–Kuznetsov (KdV–ZK) equation, governing the behaviour of long-wavelength weakly nonlinear ion-acoustic waves propagating obliquely to an external uniform magnetic field in a non-thermal plasma, admits soliton solutions having a sech2 profile. The higher-order growth rates of instability are obtained using the method developed by Allen and Rowlands [J. Plasma Phys.50, 413 (1993); 53, 63 (1995)]. The growth rate of instability is obtained correct to order k2, where k is the wavenumber of a long-wavelength plane-wave perturbation. The case where the coefficient of the nonlinear term in the KdV–ZK equation vanishes is also considered.

Type
Research Article
Information
Journal of Plasma Physics , Volume 65 , Issue 2 , February 2001 , pp. 131 - 150
Copyright
2001 Cambridge University Press

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