This study starts with design considerations, the functional behaviour, and key characteristics of the microring resonator and add/drop ring resonators allowing the performance of higher order filters. For nonlinear materials the basic equations to describe the formation and propagation of different types of optical solitons are well known. The resonance condition is satisfied when the circumference of the microring resonators, or generally the round-trip length, is equal to an integer multiple of the optical wavelength inside the medium. The chaotic behaviour of the multi output signals generated from these devices can be filtered using appropriate parameters. Optical chaos is observed in many non-linear optical systems. One of the most common examples is a microring resonator. Chaotic behaviour has been considered as a nonlinear property in physics, electronics and communication. Soliton is a self-reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Among all the types of solitons, optical vector solitons draw the most attention due to their wide range of applications, particularly in generating ultrafast pulses and light control technology. Dark solitons are much less stable due to the cross-interaction between the two polarization components. The bus waveguides of the microring resonator are cladded by silica, which serves both to improve modal con nement and facilitate wafer bonding for structural support. The source of nonlinear reaction is related to harmonic motion of bound electrons under the influence of an applied field. The total polarization P induced by electric dipoles is not linear in the electric field. The extent that the signal degrades depends on the purity of the glass and the wavelength of the transmitted light. This refractive index variation is responsible for the nonlinear optical effects of self-focusing, self-phase modulation and modulation instability, and is the basis for Kerr-lens mode locking. The quality factor of a resonator is a measure of the sharpness of the resonance. Therefore the optimum fabrication process can be obtained with respect to higher quality factor of the device. The phenomenon of optical bistability within the system arises from a combination of the nonlinearity in the radiation-matter interaction and of a feedback mechanism."