## Hamiltonian dynamics of dispersion-managed breathers

JOSA B, Vol. 15, Issue 1, pp. 87-96 (1998)

http://dx.doi.org/10.1364/JOSAB.15.000087

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### Abstract

An analytic description is presented for the pulse dynamics in a dispersion-managed communications system in which the average dispersion is in the anomalous regime. A variational formalism reduces the governing equations to a planar Hamiltonian system for which a geometrical interpretation of the pulse dynamics is given. The reduced model gives a simple method for calculating the ideal enhanced initial power for a dispersion-managed breather and further exhibits a long-time periodic behavior, which is present in the full governing equations. Extensive numerical simulations verify the range of validity of the reduced equations.

© 1998 Optical Society of America

**OCIS Codes**

(060.0060) Fiber optics and optical communications : Fiber optics and optical communications

(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons

(260.2030) Physical optics : Dispersion

**Citation**

J. Nathan Kutz, Philip Holmes, Stephen G. Evangelides, and James P. Gordon, "Hamiltonian dynamics of dispersion-managed breathers," J. Opt. Soc. Am. B **15**, 87-96 (1998)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-1-87

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