The nonlinear quasi-steady state of the Farley-Buneman two-stream wave observed in the E region ionosphere at altitudes in the range of 95-110 km is studied by numerical simulation. The behavior of this two-stream wave in the plane perpendicular to the Earth's magnetic field is simulated with a two-dimensional two-fluid code in which the electron inertia is neglected while the ion inertia is retained. We found that, for the waves with wavelength well above (smaller than) 3 meters, the most intense waves propagate in the Ќ¢ (The Symbol is abbreviated)0 < 0(Ќ¢ (The Symbol is abbreviated)0 > 0) region. The simulation result of up-down asymmetry for the 3-meter wave is consistent with the radar observations. From the simulations, we conclude that the background polarization electric field driving the elctrojet is responsible for the spectral asymmetries.