Canter set fractals from solitons

We show how a nonlinear system that support solitons can be driven to gener ate exact (regular) Cantor set fractals. As an example, we use numerical si mulations to demonstrate the formation of Canter set fractals by temporal o ptical solitons. This fractal formation occurs in a cascade of nonlinear op tical fibers through the dynamical evolution from a single input soliton.