Travelling waves are observed in many natural processes, ranging from
the spread of diseases to the combustion of fuels. A common feature of a
multitude of these phenomena is that they can be similarly described in
terms of a dispersive or diffusive mechanism, an advective or convective
process, some kind of reaction, sorption, source or sink mechanism, or,
an intricate balance between several of these factors. This book
presents an overview of the occurence of travelling waves when these
underlying phenomena can be mathematically modelled by a partial
differential equation. The contents provide an up-to-date review of the
state of the art in this field of research, touching on many different
areas of application and including a large number of new results.