Add to ORKGThe dynamics of the nonlinear generalized quantum delta-kicked rotator is investigated with different initial states, under quantum anti-resonance (AR) and quantum resonance (QR) conditions. With the help of an analytical stationary solution of nonlinear Schrodinger equation with periodic condition, the relationship between the different stationary solutions obtained by Carr et al. [Phys. Rev. A 62, 063610 (2000)] is presented. We find that for weak nonlinearity, the quantum beating does not depend on the initial states except the beating frequency for the AR case, whereas the different rates of suppression depend on the initial states for the QR case. It is interesting to note that the energy of the system evolving in a truly irregular man...