This article serves as an introduction to the special edition of Solitons a
nd Symmetries in the Journal of Engineering Mathematics. Solitons, by their
mathematical nature, are deeply connected to underlying symmetries of nonl
inear equations. Described in this introduction is an historical and applic
ations overview, with special emphasis directed at the technologically inte
resting field of soliton communications in fibre optics. A brief discussion
of the papers contained in this special edition is included.