In this paper, we propose a heterogeneous integrated waveguide platform. The bistable behavior of a micro-ring resonator is observed and analyzed, and the implementation of all-optical memory is shown. The proposed heterogeneous integrated waveguide has strong Kerr nonlinear effect, without the restrictions on thermo-optical effect and free-carrier lifetime. Pure Kerr nonlinear effect enables the ultra-fast all-optical switching. We designed a micro-ring resonator with high quality factor Q = 77565. The bistable behavior was simulated based on coupled mode theory (CMT), and an all-optical memory was realized under the pulse excitation with peak power of 474 fJ and pulse width of 20 ps. Besides, we demonstrated the wavelength addressable four-bit optical memory using four micro-ring resonators cascaded by wavelength division multiplexing. This paper investigates the bistability based on high Kerr nonlinear effect, which provides the possibility of achieving ultra-fast all-optical switching, and shows certain research significance on optical storage, optical switching, and artificial intelligence.