With the nonlinear dispersion relation derived, excitation of low frequency zonal flow by drift waves is examined in tokamak plasmas with toroidal rotation. It is shown that the growth rate of the low frequency zonal flow is decreased by the frequency shift of the geodesic acoustic mode and is increased by the additional nonlinear terms with toroidal rotation velocity. If the amplitude of the pump drift wave is greater than the threshold value, which is the function of the Mach number of the toroidal rotation, the toroidal rotation increases the nonlinear growth rate, otherwise, it decreases the nonlinear growth rate. There is always a finite nonlinear growth rate of the low frequency zonal flow if only there is a finite amplitude of the pump wave in tokamak plasmas with a finite velocity of the toroidal rotation.
非线性色散关系导出后，研究了具有环向旋转的托卡马克等离子体中漂移波对低频带状流的激发。结果表明，低频带状流的增长率因测地声模频移而减小，并因包含环向旋转速度的附加非线性项而增大。若泵浦漂移波的振幅大于阈值（该阈值为环向旋转马赫数的函数），则环向旋转增强非线性增长率；反之，则抑制非线性增长率。在环向旋转速度有限的情况下，只要泵浦波振幅有限，托卡马克等离子体中低频带状流总是存在有限的非线性增长率。