Internal hydromagnetic planetary-gravity waves in zonal wind-magnetic shears - Two-variables technique

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Gravity Waves, Internal Waves, Magnetohydrodynamic Waves, Meridional Flow, Planetary Waves, Wave Propagation, Wind Shear, Amplitudes, Atmospheric Models, Magnetic Flux, Vertical Motion, Zonal Flow (Meteorology)

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The relation between zonal wind-magnetic shears and the wave amplitude is investigated using the method of two variables or multiple scales. It is assumed that the basic state zonal flow and zonal magnetic field are solely functions of a slow variable, whereas the wave phase is a function of a fast variable. These two variables are related to each other by a small parameter through which the whole solution is ordered. The case of pure internal planetary-gravity waves in a zonal shear flow which varies in the vertical direction is considered, and it is shown that the amplitude of vertically propagating waves increases as the zonal flow intensity increases for all phase and zonal flow directions. In the case of hydromagnetic planetary gravity waves, it is shown that the destabilizing effect of the zonal flow is still regained in the presence of the magnetic field. As the magnetic field strength increases, the wave amplitude decreases, stabilizing the waves.

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