Optical Fiber Communications:Group of the Nonlinear Transformations

Details Optical Fiber Communications:Group of the Nonlinear Transformations Optical Fiber Communications:Group of the Nonlinear Transformations

1998-12-11

arxiv.org/abs/solv-int/9812012v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTex2e, eps figure, Presented at the conference "Physics-21",St. Petersburg 1998

Scientific paper

A new method for finding solutions of the nonlinear Shr\"{o}dinger equation is proposed. Comutative multiplicative group of the 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 at the optical 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.

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