Chaos and Self-Organization in Optical Solitons in Fibers

Abstract

Soliton systems can be represented by means of a finite dimensional parameter space based on spectra of the Lax pair. In the presence of perturbation, chaos and/or self-organization appear in these parameter space which may or may not represent behavior of the solution of the original partial differential equation having an infinite dimension. Here, we present some interesting examples of inter-relationship between behaviors of solutions in reduced (finite dimensional space) and unreduced (infinite dimensional space) parameter spaces of optical solitons in fibers.