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Nonlinear Alfvén waves in a finite-beta plasma

Published online by Cambridge University Press:  13 March 2009

Einar Mjølhus  and
John Wyller
Einar Mjølhus
Affiliation:
Institute of Mathematical and Physical Sciences, University of Tromsø, P.O. Box 953, N-9001 Tromsø, Norway
John Wyller
Affiliation:
Department of Mathematics, University of Luleå, S-95187 Luleå, Sweden
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Abstract

The DNLS equation for parallel nonlinear and weakly dispersive MHD waves is extended to finite beta values as well as to three spatial dimensions, by means of the reductive perturbation method. Kinetic effects are included by means of the hybrid fluid and kinetic guiding-centre model of Grad (1961). The resulting equation contains a nonlinear and non-local term representing the effect of resonant particles.

Type
Research Article
Information
Journal of Plasma Physics , Volume 40 , Issue 2 , October 1988 , pp. 299 - 318
Copyright
Copyright © Cambridge University Press 1988

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