IJPAM: Volume 7, No. 4 (2003)

ASYMPTOTIC ANALYSIS OF
THE GABITOV-TURITSYN EQUATION

Anjan Biswas
Department of Physics and Mathematics
Tennessee State University
3500 John A. Merritt Blvd.
Nashville, TN 37209-1561, USA
e-mails: abiswas@tnstate.edu, Biswas_Anjan@hotmail.com


Abstract.The Gabitov-Turitsyn equation is the universal asymptotic equation that governs the evolution of amplitude of an optical pulse in a dispersion-managed soliton system. The nonlinear term of this equation is analysed asymptotically. The total spectral intensity, for a lossless system, is found to be an invariant of propagation, while for a lossy system it is dependent on the relative position of the amplifier in the dispersion map. We have considered both types of fibers namely polarization-preserving, as well as birefringent type. Finally, the case of multiple channels is also studied.

Received: May 13, 2003

AMS Subject Classification: 35Q51, 35Q55, 78A60

Key Words and Phrases: optical solitons, quasi-linear pulses, dispersion-management, nonlinear Schrödinger equation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 7
Issue: 4