Nonlinear waves in a low-density plasma with a strong magnetic field

Lardner, R. W. ; Trehan, S. K. (1990) Nonlinear waves in a low-density plasma with a strong magnetic field Astrophysics and Space Science, 180 (1). pp. 93-104. ISSN 0004-640X

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Official URL: http://www.springerlink.com/content/m764775t811251...

Related URL: http://dx.doi.org/10.1007/BF00644231

Abstract

The nonlinear evolution of waves in a low-density plasma in a strong magnetic field is investigated on the basis of the Chew-Goldberger-Low approximation. The nonlinear effects are found to be essentially different for the magneto-acoustic and Alfvèn modes. For the magnetic-acoustic mode, waveform distortion occurs at order ε2 (where ε is a measure of the linear wave amplitude) and shock formation occurs over a time-scale of order ε--1. For the Alfvén wave, modulation occurs at order ε 3 and shock formation over a time-scale of order ε--2. The nature of the waveform distortion is qualitatively different for the two modes.

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