A theory for the nonlinear neoclassical double tearing mode is present
ed. The equations governing the nonlinear evolution of the mode are ob
tained for both the locked islands and the islands with different rota
tion frequencies. The coupling of the two islands plays a destabilizin
g role in the island growth, especially when the phase between the two
islands is locked. The perturbed bootstrap current has a strong stabi
lizing effect on the inner island but a weak destabilizing effect on t
he outer island. The inner island width is decreased when there is a r
elative rotation between the two islands, while the outer island is le
ss affected by plasma rotation. The outer island width is found be an
important parameter in determining the inner island width and the stab
ility of the nonmonotonic q-profile. (C) 1997 American Institute of Ph
ysics.