“…In recent years the global regularity issue of the magnetohydrodynamic equations has attracted considerable interests and much important progress has been made (see, e.g., [1,2,4,[6][7][8][9]). In the case when α = β = 1, (1.1) becomes the standard MHD-wave equations, which can be formally derived from the coupled Maxwell-Ohm equations, we refer to [3,5] for details. Very recently, the small data global well-posedness and a singular limit of the problem in Fourier-Sobolev spaces have been obtained [5].…”