It is planned to consider various regimes of parameters entering into different perturbations of the scalar and the vector nonlinear Schroedinger (NLS) equation. These perturbations correspond to different configurations in the operation of optical transmission systems. Analysis of the equations will proceed via (hamiltonian) averaging and by a perturbative inverse-scattering approach with the aim of contributing to the optimal design of optical systems.
It is planned to study dispersion-compensated transmission and wavelength-division-multiplexing (WDM). It is planned to investigate some of the consequences of allowing some of the system parameters to become random variables so as to model the random distribution of repeater stations in the present european network. It is also planned to seek to make use of a technique known as self-consistent reflectionless potentials in order to find physically interesting new solutions to the vector NLS, with a view to their application in WDM systems.