Exact nonlinear solutions for three-dimensional Alfvén-wave packets in relativistic magnetohydrodynamics
arXiv:2105.14126 · doi:10.1017/S0022377821000970
Abstract
We show that large-amplitude, non-planar, Alfvén wave (AW) packets are exact nonlinear solutions of the relativistic MHD equations when the total magnetic-field strength in the local fluid rest frame () is a constant. We derive analytic expressions relating the components of the fluctuating velocity and magnetic field. We also show that these constant- AWs propagate without distortion at the relativistic Alfvén velocity and never steepen into shocks. These findings and the observed abundance of large-amplitude, constant- AWs in the solar wind suggest that such waves may be present in relativistic outflows around compact astrophysical objects.
arXiv comment5 pages
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