Optic-fiber communications: Nonlinear-transformation group

A new method for finding solutions of the nonlinear Schrodinger equation is proposed. A comutative multiplicative group of nonlinear transformations, which operate on stationary localized solutions, enables a consideration of fractal subspaces in the solution space, stability, and deterministic chaos. An increase of the transmission rate in the optic-fiber communications can be based on new forms of localized stationary solutions, without significant change of input power. The estimated transmission rate is 50 Gbit/s, for certain available soliton transmission systems.