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Properties of Alfvén solitons in a finite-beta plasma

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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Extract

The properties of Alfvén solitons are examined (solitons propagating parallel to the magnetic field in a magnetized plasma) in the case when the plasma possesses a finite pressure. Starting from a two-fluid system of equations, the reductive perturbation method is used to derive a derivative nonlinear Schr ödinger equation, which is solved by a pseudo-potential method. An envelope soliton is found which possesses a width –amplitude relationship. The same functional form for the envelope of the magnetic energy density is obtained regardless of the value of the plasma &bgr;.

Type
Articles
Information
Journal of Plasma Physics , Volume 27 , Issue 2 , April 1982 , pp. 193 - 198
Copyright
Copyright © Cambridge University Press 1982

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References

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