Wave-like motions are abundant in most of our stable nocturnal boundary layers.  Such motions are generally observed at fixed sites with only a few periods.  Cases of more than a few periods with roughly constant period and amplitude are uncommon at the ground surface.  However, such cases are emphasized in the literature and they do become more common at higher levels above the ground.   Our library of several hundred fog videos and our datasets indicate that shallow wave-like motions are quite common.

2009-12-10-3
Wave-like motions lead to upward ejections of surface air
2009-12-10
Wave-like motions propagating toward the viewer and upward mixing
transverse_5
Machine generated fog about 1 m deep reveals wavy motions propagating toward the bottom of the photo

The following video shows examples of wave motions propagating in opposite directions.

The above video shows somewhat larger waves.  Note that the depth of the waves may extend well above the fog layer and thus not visualized.