An exploration of the theory of discrete integrable systems, with an emphasis on the following general problem: how to discretize one or several of independent

This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.

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

An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. T