This textbook is an introduction to the theory of solitons in the physical sciences.

The current research into solitons and their use in fiber optic communications is very important to the future of communications. Since the advent of computer n

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

Solitons are waves that retain their form through obstacle and distance. Solitons can be found in hydrodynamics, nonlinear optics, plasma physics, and biology.

Nonlinearity is a fascinating element of nature whose importance has been appreciated for many years when considering large-amplitude wave motions observed in v