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Stability of solitary waves in a magnetized non-thermal plasma with warm ions

Published online by Cambridge University Press:  01 September 1999

ANUP BANDYOPADHYAY  and
K. P. DAS
ANUP BANDYOPADHYAY
Affiliation:
Serampur College, Hoogly, 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

A study is made of the stability of ion-acoustic solitons in a magnetized non-thermal plasma with warm ions. A Zakharov–Kuznetsov equation (KdV–ZK, or Korteweg–de Vries equation in three dimensions) is derived. This equation admits solutions representing compressive and rarefactive solitons propagating in any direction oblique to the external magnetic field. When the coefficient of the nonlinear term of this equation vanishes, the nonlinear behaviour of ion acoustic waves is described by a modified KdV–ZK (MKdV–ZK) equation, which is also derived. This equation also has solitary-wave solutions. Finally, the three-dimensional stability of these solitons is investigated by the small-k perturbation expansion method of Rowlands and Infeld.

Type
Research Article
Information
Journal of Plasma Physics , Volume 62 , Issue 3 , September 1999 , pp. 255 - 267
Copyright
© 1999 Cambridge University Press

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