Dispersion Managed Soliton Systems Roy Wang Introduction: Solitons are solitary wave solutions of non-linear evolution equations which preserve their shape=20 through non-linear interaction. Although this sounds highly mathematical, notice that this resembles particle like behaviour. I will concentrate on interactions of solitons with a noise field, or with each = other in optical fibres. One example of this is noise =09 induced amplitude chirp jitter and limits this may impose on transmission. Outline I will briefly review the mathematics essential to any derivations or = equations I will examine. ( which will definitely not include the = associated Lie Algebra structures!) For example that the simplest = non-trivial solution to the KdV equation is of the form of a hyperbolic = secant modulo a constant. =09 I will then describe the basic techniques in the formation of solitons = which I will be discussing, as well as properties such as minimum power = requirements, etc... I will then discuss the idea of dispersion managed optical fibres and = controlling the noise field to study chirp jitter, and an analytic = theory describing a fundamental transmission limit, as well as = techniques for measurements. Then ( especially if the previous part had too much overlap with the = other presentation) I will move on to discuss the characterization of = solitons attracting and repelling each other in fibre systems. Finally a discussion on chirped solitons with strong confinement. This = is interesting because this implies that formation of chirped optical = solitons with fast-decaying tails, which is related to information = carrying capacity. One article quoted up to 100 GBits/s !