General nonlinear equations describing reversed shear Alfven eigenmode (RSAE) self-modulation via zero frequency zonal structure (ZFZS) generation are derived using gyrokinetic theory, which then applied to study the spontaneous ZFZS excitation as well RSAE saturation. It is found that both electrostatic flow (ZF) and electromagnetic current (ZC) can be preferentially excited by finite amplitud...