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

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

Jun 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991ap%26ss.180...93l&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 180, no. 1, June 1991, p. 93-104.

Computer Science

Sound

Magnetic Fields, Magnetoacoustic Waves, Magnetohydrodynamic Waves, Nonlinear Evolution Equations, Sound Waves, Linear Equations, Shock Waves

Scientific paper

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 magnetoacoustic and Alfven modes. For the magnetoacoustic mode, waveform distortion occurs at order epsilon-squared (where epsilon is a measure of the linear wave amplitude) and shock formation occurs over a time-scale of order epsilon exp -1. For the Alfven wave, modulation occurs at order epsilon cubed and shock formation over a time-scale of order epsilon exp -2. The nature of the waveform distortion is qualitatively different for the two modes.

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