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.

Soliton theory, the theory of nonlinear waves in lattices composed of particles interacting by nonlinear forces, is treated rigorously in this book. The present