New bisoliton solutions in dispersion managed systems

In this paper we propose a method which provides a full description of solitary wave solutions of the Schrِdinger equation with periodically varying dispersion. This method is based on analysis and polynomial deformation of the spectrum of an iterative map. Using this method we discover a new family of antisymmetric bisoliton solutions. In addition to the fact that these solutions are of interest for nonlinear fiber optics and the theory of nonlinear Schrِdinger equations with periodic coefficients, they have potential applications for increasing of bit-rate in high speed optical fiber communications.