The IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow is a comprehensive collection of reports that originated from a symposium held in 1999 at the University of Notre Dame. Over the past decade, the field of multiphase flow research has significantly advanced, with many complex interfacial dynamics now understood at a fundamental level. These advancements represent a significant shift from traditional empirical approaches to precise mathematical and quantitative characterizations. The contributions in this volume provide an overview of the progress in research and discuss future directions. Topics covered include the dynamics of solitary waves in viscous film flows, layer formation, and droplet immersion in stratified flows, as well as the dynamics of wetting and dewetting. This work is an essential reference for applied mathematicians, physicists, research engineers, and students who wish to learn about the latest theoretical and numerical developments in multiphase flow research.