Believe that Russia, and other former eastern block country's, started the use of this type of jumping to develop quickness in the overhead snatch and cleans. They worked up to adding weight to the jumps. Most all track athletes, and other sports, use jumps in one form or another. Some one legged at a time.
There are also stationary jumps, where a bar (or a pole, broom handle, PVC, etc) is held in front of the body (arms length) and you jump over the bar and land with the bar behind your back. Than from that position, another over the bar jump(reverse) is done with the bar winding up in front of the you again, the original starting position.
Platform/boxes/over the bar jumps also hit the total abs very, very strongly. Those bars could be loaded to over 100+ easily. Good Luck.