The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called

This book explores the deep and fascinating connections that exist between a ubiquitous class of physically important waves known as solitons and the theory of

From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvat

A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.