Based on the earlier model, the superradiant Rayleigh scattering of the high-intensity short light pulses by the Bose-Einstein condensate of rubidium vapor is studied. It is demonstrated that only six states with a certain momentum are filled when the resonance detuning is about the Rabi frequency. The first two states describe the atomic motion along the condensate due to absorption, whereas the remaining four states describe the atomic motions at angles of 45° and 135° to the condensate axis owing to the reemission of the photon. The condensate pulsations between the state with zero momentum and the last four states are revealed. The corresponding shape of the coherent Rayleigh pulse is found for various resonance detunings.