EXISTENCE AND STABILITY OF N-PULSES ON OPTICAL FIBERS WITH PHASE-SENSITIVE AMPLIFIERS

The propagation of pulses in optical communication systems in which at tenuation is compensated by phase-sensitive amplifiers is investigated . A central issue is whether optical fibers are capable of carrying se veral pieces of information at the same time. In this paper, multiple pulses are shown to exist for a fourth-order nonlinear diffusion model due to Kutz and co-workers (1994). Moreover, criteria are derived for determining which of these pulses are stable. The pulses arise in a r eversible orbit-flip, a homoclinic bifurcation investigated here for t he first time. Numerical simulations are used to study multiple pulses far away from the actual bifurcation point. They confirm that propert ies of the multiple pulses including their stability are surprisingly well-predicted by the analysis carried out near the bifurcation.