Abstract.The variational principle is employed to obtain the parameters dynamics of a Gaussian chirped soliton that propagates through birefringent optical fibers which is governed by the dispersion-managed vector nonlinear Schrödinger's equation. The waveform deviates from that of a classical soliton. The periodically changing strong chirp of such a soliton reduces the effective nonlinearity that is necessary for balancing the local dispersion. This study is extended to obtain the adiabatic evolution of the parameters of such a soliton in presence of perturbation terms.

Received: March 18, 2002

AMS Subject Classification: 35Q55, 78A60

Key Words and Phrases: Gaussian chirped solution, birefringent optical fibers, nonlinear Schrödinger's equation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2002
Volume: 2
Issue: 1