Modeling propagation of chirped solitons in an elliptically low birefringent single-mode optical fiber

An analytical description is presented, for the first time, to describe propagation dynamics of chirped solitons in an elliptically low birefringent optical fiber within the framework of a model described by coupled nonlinear Schroedinger equations. Using nonlinear Schroedinger solitons as trial functions in an averaged Lagrangian formulation, a set of ordinary differential equations (ODEs) are derived for various soliton parameters. These ODEs describe chirped soliton dynamics and give a criterion for nonlinear coupling of polarized pulses to form a bound state corresponding to a phase mismatch.