who commanded the americans?
Alexander Patch.
Battle of Mount Austen, the Galloping Horse, and the Sea Horse
The U.S. forces were under the overall command of Alexander Patch and the Japanese forces were under the overall command of Harukichi Hyakutake.

what is the battle of mount austen, the galloping horse, and the sea horse? It is sometimes called the Battle of the Gifu, took place from 15 December 1942 to 23 January 1943. who fought in it? United States and Imperial Japanese forces.
wiki:16694387
Battle of Mount Austen, the Galloping Horse, and the Sea Horse [SEP] Introduction
In the meantime, the Japanese decided to abandon Guadalcanal and withdrew to the west coast of the island. From there most of the surviving Japanese troops were successfully evacuated during the first week of February 1943.