Oblique propagation of nonlinear hydromagnetic waves - One- and two-dimensional behavior

Details Oblique propagation of nonlinear hydromagnetic waves - One- and two-dimensional behavior Oblique propagation of nonlinear hydromagnetic waves - One- and two-dimensional behavior

May 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jgr....96.7641m&link_type=abstract

Journal of Geophysical Research (ISSN 0148-0227), vol. 96, May 1, 1991, p. 7641-7656. MPI-supported research.

Physics

21

Magnetohydrodynamic Waves, Oblique Shock Waves, Wave Propagation, Digital Simulation, Giacobini-Zinner Comet, Magnetosonic Resonance, Polarized Radiation

Scientific paper

The one- and two-dimensional behavior of obliquely propagating hydromagnetic waves is analyzed by means of analytical theory and numerical simulations. It is shown that the nonlinear evolution of a one-dimensional MHD wave leads to the formation of a rotational discontinuity and a compressive steepened quasi-linearly polarized pulse whose structure is similar to that of a finite amplitude magnetosonic simple wave. For small propagation angles, the pulse mode (fast or slow) depends on the value of beta with respect to unity, while for large propagation angles the wave mode is fixed by the sign of the initial density-field correlation. The two-dimensional evolution shows that an MHD wave is unstable against a small-amplitude long-wavelength modulation in the direction transverse to the wave propagation direction. A 'two-dimensional magnetosonic wave' solution is found, in which the density fluctuation is driven by the corresponding total pressure fluctuation, exactly as in the one-dimensional simple wave.

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