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Nonlinear surface Alfvén waves

Published online by Cambridge University Press:  13 March 2009

N. F. Cramer
N. F. Cramer
Affiliation:
School of Physics, The University of Sydney, N.S.W. 2006, Australia
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Abstract

The problem of nonlinear surface Alfvén waves propagating on an interface between a plasma and a vacuum is discussed, with dispersion provided by the finite-frequency effect, i.e. the finite ratio of the frequency to the ion-cyclotron frequency. A set of simplified nonlinear wave equations is derived using the method of stretched co-ordinates, and another approach uses the generation of a second-harmonic wave and its interaction with the first harmonic to obtain a nonlinear dispersion relation. A nonlinear Schrödinger equation is then derived, and soliton solutions found that propagate as solitary pulses in directions close to parallel and antiparallel to the background magnetic field.

Type
Research Article
Information
Journal of Plasma Physics , Volume 46 , Issue 1 , August 1991 , pp. 15 - 27
Copyright
Copyright © Cambridge University Press 1991

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