This series of lectures aims to introduce some of the principal aspects of nonlinear dispersive wave theory. We start with an appreciation of the early history, and then introduce, within the original fluid mechanics context, the paradigm Korteweg-de Vries equation. Some of the more important properties of this equation are then outlined. These properties motivate and give direction to the further study of this and other nonlinear dispersive wave equations.
Further issues to be addressed will be chosen from among the following topics.