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Evolution of nonlinear Alfvén waves propagating along the magnetic field in a collisionless plasma

Published online by Cambridge University Press:  13 March 2009

M. Khanna  and
R. Rajaram
M. Khanna
Affiliation:
Indian Institute of Geomagnetism, Colaba, Bombay 400 005, India
R. Rajaram
Affiliation:
Indian Institute of Geomagnetism, Colaba, Bombay 400 005, India
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Abstract

It is shown that the asymptotic evolution of a finite-amplitude Alfvén wave propagating parallel to the uniform magnetic field in a warm homogeneous collisionless plasma is governed by the modified nonlinear Schrödinger equation. The dispersion is provided by the ion finite Larmor radius (FLR) effects in the momentum equation and the Hall current and electron pressure corrections to the generalized Ohm's law. In the cold plasma limit the equations reduce to those available in the literature. It is suggested that these calculations can have a bearing on the investigation of the structure of MHD waves in the solar wind.

Type
Research Article
Information
Journal of Plasma Physics , Volume 28 , Issue 3 , December 1982 , pp. 459 - 468
Copyright
Copyright © Cambridge University Press 1982

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References

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