Dispersion management in optical fiber links: Integrability in leading nonlinear order

Details Dispersion management in optical fiber links: Integrability in leading nonlinear order Dispersion management in optical fiber links: Integrability in leading nonlinear order

1999-06-29

arxiv.org/abs/chao-dyn/9907007v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

We show that an integro-differential equation model for pulse propagation in optical transmission lines with dispersion management, is integrable at the {\it leading nonlinear order}. This equation can be transformed into the nonlinear Schroedinger equation by a near-identity canonical transformation for the case of weak dispersion. We also derive the next order (nonintegrable) correction.

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