During the Battle of Palo Duro Canyon in September of 1874, the 4th cavalry under the leadership of Colonel R.S. Mackenzie tracked a large group of Indians to their camp in Palo Duro and surprised them in the early dawn hours.
The Indians knowing every nook and cranny of the canyon had the tactical advantage.
So once Colonel Mackenzie realized that, he ordered the Indian's camp and supplies burned while the Indians were busy escaping capture. But Mackenzie's troops took with them around 1,400 of the Indian's horses eventually killing almost 1,000 of them.
This was almost a bloodless battle except for the carnage of the horses. Only 4 Indians were killed and no cavalry soldiers died. But left without their horses, camp and supplies, the Indians finally gave up and went back to their reservations at Fort Reno and Fort Sill. So the battle was successful from the viewpoint of the U.S. government.
Not our proudest moment in terms of how the Native Indians were treated in this author's opinion.