The magnetohydrodynamic equations in terms of waveframe variables

Alfvén wave
DOI: 10.48550/arxiv.2401.07830 Publication Date: 2024-01-01
ABSTRACT
Generalising the Elsasser variables, we introduce Q-variables. These are more flexible than because they also allow to track waves with phase speeds different Alfven speed. We rewrite MHD equations these consider linearised version of resulting in a uniform plasma, and recover classical waves, but separate fast slow magnetosonic upward downward propagating waves. Moreover, show that Q-variables may surface non-uniform displaying power our generalisation. In end, lay mathematical framework for driving solar wind models multitude wave drivers.
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