Where is the battlefield after which the Persian kingdom fell?

During the campaign of Alexander the Great to the east, many skirmishes and battles took place between his troops and the army of the Persians. True, the most recent was a major battle near Gaugamel in 331 BC. Then King Darius III opposed the Greco-Macedonian army with 250 thousand people. The battle was very difficult for both sides. Alexander, thanks to his swift blow to the center of the Persian troops, managed to put the Persians to flight, and thereby gain victory.