Sponsored by the Danish Research Academy
Exact stable solitary pulses in linearly coupled Ginzburg-Landau equations
by Dr. Javid Atai
Department of Electrical Engineering
The University of Sydney
NSW 2006
Australia
Phone: +61-2-9351-2828
Fax: +61-2-9351-3847
e-mail: atai@ee.usyd.edu.au
MIDIT-seminar No. 402
Thursday, April 23, 1998 15:00 h
at MIDIT, IMM Building 305, room 027
Abstract: We put forward the first physical model based on coupled
Ginzburg-Landau equations that supports exact stable pulse solutions.
The model describes a doped twin-core optical fiber with dispersive
losses, dispersion, and cubic nonlinearity in one component, and pure
losses in the other. The exact stable pulses are found for the cases of
the anomalous, normal, and zero dispersion. Necessary conditions
for stability of the pulses are obtained analytically, and a full
stability analysis is performed numerically. We find nontrivial stability
borders on the model's phase planes that do not follow from elementary
theorems of the bifurcation theory.