The goal of the First Gulf War was, expressly, to liberate Kuwait from Iraqi control and (to a much smaller degree) to remove Iraq as a possible regional hegemo

The goal of the First Gulf War was, expressly, to liberate Kuwait from Iraqi control and (to a much smaller degree) to remove Iraq as a possible regional hegemon for the next decade or so. Which it succeeded at. Once you've succeeded at your objectives, and the enemy has capitulated, what value is there to prosecuting the war further?