Internal atmospheric hydromagnetic planetary-gravity waves in zonal wind-magnetic shears

Internal atmospheric hydromagnetic planetary-gravity waves propagating through a latitudinally sheared zonal flow and a zonal magnetic field sheared both latitudinally and vertically are studied. It is shown that the waves have four critical latitudes. At two of them, the waves propagate on only one side, with their energy and momentum fluxes differing by an additive factor on the two sides of the critical latitude, whereas at the other two, the waves can propagate on both sides and exhibit the value effect behavior, with their energy and momentum fluxes attenuated by an exponential factor as they cross the critical latitude.