Non-holonomic deformation of the DNLS equation for controlling optical soliton in doped fibre media.

Optical signal propagating through a non-linear fibre medium when coupled to an Erbium-doped resonant medium is known to produce a cleaner solitonic pulse, described by the self-induced transparency (SIT) coupled to the non-linear Schrödinger (NLS) equation. Extending this idea to ultra short pulses when description through derivative NLS (DNLS) becomes relevant, we propose and investigate a new model of a coupled DNLS-SIT system for greater efficiency. It is shown that, the broadening of the optical pulse, a well-known problem in fibre transmission, can be controlled by regulating a certain initial profile related to the population inversion. This effect can be enhanced by using the constrained integrable hierarchy of the DNLS-SIT system. [ABSTRACT FROM PUBLISHER]