I hate having to use the term “ipsilateral” and I hate having to use four words as part of this exercise’s name. But it is what it is. And in simple terms this is just a different version of a Bulgarian Squat. The Bulgarian squat can be loaded in may different ways including: a barbell, a pair of dumbbells, one dumbbell and placing a weight overhead. With the ipsilateral version, one dumbbell is used and it is held on on the same side as the front leg. This just requires a greater amount of stabilization through the hip and core areas.
Whichever way you load it, the Bulgarian squat is one of my favorite exercises for developing single leg strength.