Following the destruction of Vulcan, the surviving government officials formed the Confederacy of Surak. New Vulcan and several colonies of the first planet were member states of this confederacy. The Confederacy was named after Surak, the father of the Vulcan civilization. (Star Trek Into Darkness)
Some background sources give this name as the official name for the Vulcan state in the regular universe, so it is possible that the name was not a new one, and was in fact the name of the Vulcan government before the destruction also.