There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of p

Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples

Soliton theory is an important branch of applied mathematics and mathematical physics. An active and productive field of research, it has important applications

A discussion of the soliton, focusing on the properties that make it physically ubiquitous and the soliton equation mathematically miraculous.

This book will be a valuable addition to the growing literature in the area and essential reading for all researchers in the field of soliton theory.