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Properties of Alfvén Solitons in a Finite-Beta Plasma J. Plasma Phys. vol. 27, 1982, p. 193

Published online by Cambridge University Press:  13 March 2009

Steven R. Spangler  and
James P. Sheerin
Steven R. Spangler
Affiliation:
Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242
James P. Sheerin
Affiliation:
Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242
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In the aforementioned paper we obtained an equation for non-linear Alfvén waves in a finite-β plasma, and investigated envelope soliton solutions thereof. The purpose of this note is to point out an error in the derivation of the soliton envelopes, and present corrected expressions for these solitons.

The error arises from our assumption of translational invariance of both the envelope and phase of an envelope soliton expressed in equations (16) and (17). Rather, the phase is related to the amplitude by where y ≡ x — VEt is a comoving co-ordinate, and all other quantities are defined in the above paper.

Type
Corrigendum
Information
Journal of Plasma Physics , Volume 32 , Issue 2 , October 1984 , pp. 347
Copyright
Copyright © Cambridge University Press 1984