The Periodically Perturbed Nonlinear Schrodinger Equation
And Its Applications to Fiber Optic Communications

J. Nathan Kutz (Princeton University)

This talk considers the stability of both soliton-like and non-soliton pulses in nonlinear optical fibers where the governing equation is the periodically perturbed nonlinear Schrodinger equation. In particular, an overview of various communications systems is given with emphasis being placed on the dispersion managed nonlinear Schrodinger equation, i.e., the case where the sign of the dispersion changes periodically as a pulse propagates. Here, Floquet theory is used to describe the stability of plane waves which correspond to constant amplitude signals (0's and 1's) and the properties of the Green's function associated with the linear problem is used to describe pulse deformations. The main results include a derivation of the leading order behavior as well as an estimate on the lengthscale of validity.