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Evolution of nonlinear magnetosonic waves propagating obliquely to an external magnetic field in a collisionless plasma

Published online by Cambridge University Press:  14 February 2001

DEBALINA CHAKRABORTY  and
K. P. DAS
DEBALINA CHAKRABORTY
Affiliation:
Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700009, India
K. P. DAS
Affiliation:
Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Calcutta 700009, India
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Extract

It is shown that the asymptotic evolution of finite-amplitude magnetosonic waves propagating obliquely to an external uniform magnetic field in a warm homogeneous plasma is governed by a Kadomtsev–Petviashvili equation having an extra dispersive term. The dispersion is provided by finite-Larmor-radius (FLR) effects in the momentum equation and by the Hall-current and electron-pressure corrections in the generalized Ohm's law. A double-layer-type solution of the equation is obtained, and the equation is shown to reduce to a KdV–Burgers equation under certain assumptions.

Type
Research Article
Information
Journal of Plasma Physics , Volume 64 , Issue 3 , September 2000 , pp. 211 - 226
Copyright
© 2000 Cambridge University Press

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