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Non-linear theory of hydromagnetic waves in a high β plasma

Published online by Cambridge University Press:  13 March 2009

Marino Dobrowolny  and
André Rogister
Marino Dobrowolny
Affiliation:
European Space Research Institute, Frascati, Italy
André Rogister
Affiliation:
European Space Research Institute, Frascati, Italy
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Abstract

A non-linear integro-differential equation is derived, governing the space time evolution of non-linear hydromagnetic waves in a finite β collisionless plasma. The theory is done for quasi-perpendicular propagation, for wave frequencies above ion cyclotron frequency, and wavelengths smaller than ion Larmor radius. In the low β limit, the derived equation reduces to a Korteweg de Vries equation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 6 , Issue 2 , October 1971 , pp. 401 - 412
Copyright
Copyright © Cambridge University Press 1971

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References

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