Stable soliton pairs in optical transmission lines and fiber lasers
Nail AkhmedievOptical Sciences Centre, The Australian National University, Canberra 0200 ACT, AustraliaAdrian AnkiewiczOptical Sciences Centre, The Australian National University, Canberra 0200 ACT, AustraliaJ. M. Soto‐CrespoInstituto de Óptica, Consejo Superior de Investigaciones Cientı́ficas, Serrano 121, 28006 Madrid, Spain
1998en
ABI
Abstract
Optical-fiber transmission of pulses can be modeled with the complex Ginzburg–Landau equation. We find novel stable soliton pairs and trains, which are relevant in this case, and analyze them. We suggest that the distance between the pulses and the phase difference between them is defined by energy and momentum balance equations, rather than by equations of standard perturbation theory. We present a two-dimensional phase plane (interaction plane) for analyzing the stability properties and general dynamics of two-soliton solutions of the Complex Ginzburg–Landau equation.
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