This is my masters' thesis from Lancaster University. Below is the abstract: Transformation optics is a powerful mathematical tool which has found extensive use through the design of metamaterials. One of the main areas of interest is that of producing cloaks, in both space and time. Although the effects of transformation optics have been studied for the cases of a dispersive background material and a nonlinear background material separately, they are yet to be studied on a material that is both dispersive and non- linear. This thesis considers this case and we provide a formalism for taking space-time transformations of materials whose dispersion is consistent to that of a one-pole resonator and whose nonlinearity is given by that of a Kerr medium. The problem is solved using both integral and differential methods, and the generation of non-trivial nonlinearities are shown explicitly. The methodology is set up in a way that the extension to higher powered nonlinearities is simple, and examples of how one would do that are provided throughout. Either click the image or here to read more.