There were few follow-up studies for decades. Then the 1995 launch of the Solar and Heliospheric Observatory led to observation of coronal waves, which cause Moreton waves. Moreton waves were a research topic again. (SOHO's EIT instrument discovered another, different wave type called "EIT waves".)  The reality of Moreton waves (aka fast-mode MHD waves) has also been confirmed by the two STEREO spacecraft. They observed a 100,000-km-high wave of hot plasma and magnetism, moving at 250 km/s, in conjunction with a big coronal mass ejection in February 2009.
Moreton waves propagate at a speed of 500–1500 km/s (this range does not agree with the just-quoted STEREO observation of a 250 km/s speed). Yutaka Uchida interpreted Moreton waves as MHD fast mode shock waves propagating in the corona. He links them to type II radio bursts, which are radio-wave discharges created when coronal mass ejections accelerate shocks.
Moreton waves can be observed primarily in the Hα band.
^Moreton, G. E. & Ramsey, H. E. (1960). "Recent Observations of Dynamical Phenomena Associated with Solar Flares". Publications of the Astronomical Society of the Pacific72 (428): 357. Bibcode:1960PASP...72..357M. doi:10.1086/127549.
^Athay, R. Grant; Moreton, Gail E. (1961). "Impulsive Phenomena of the Solar Atmosphere. I. Some Optical Events Associated with Flares Showing Explosive Phase". Astrophysical Journal133: 935. Bibcode:1961ApJ...133..935A. doi:10.1086/147098.