Abstract

We study the dynamics of propagation of the pulse train modeled by truncated cnoidal-type wave in a nonlinear dispersion-managed (DM) fiber. Computer simulations permit to select fiber parameters and waveform to ensure self-repeating of wave after the dispersion map period. It is shown that the long-period maps lead to the complicated chaotic behavior of cnoidal type wave, namely the Kolmogorov-Arnold-Moser (KAM) chaos.

© 2003 Optical Society of America

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Chaos (1)

V. Cautaerts, A. Maruto, Y. Kodama, �??On the dispersion managed soliton,�?? Chaos 10, 515 (2000).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (3)

A. Hasegawa, �??Soliton-Based Optical Communications: An Overview,�?? IEEE J. Sel. Top. Quantum Electron. 6, 1161 (2000).

H. Haus, �??Mode-Locking of Lasers,�?? IEEE J. Sel. Top. Quantum Electron. 6, 1173 (2000).

R.-M. Mu, V.S. Grigoryan, C.R. Menyuk, �??Comparison of Theory and Experiment for Dispersion-Managed Solitons in a Recirculating Fiber Loop,�?? IEEE J. Sel. Top. Quantum Electron. 6, 248 (2000).

J. Opt. Soc. Am. B (1)

J. Opt. Soc. Am.B (1)

M. Nakazawa, A. Sahara, H. Kubota, �??Propagation of a solitonlike nonlinear pulse in average normal group-velocity dispersion and its unsuitability for high-speed, long-distance optical transmission,�?? J. Opt. Soc. Am.B 18, 409 (2001).

Opt. Commun. (3)

Y. Chen, �??Dark solitons in dispersion compensated fiber transmission systems,�?? Opt. Commun. 161, 267 (1999).
[CrossRef]

C. Pare, P.-A. Belanger, �??Antisymmetric soliton in a dispersion-managed system,�?? Opt. Commun. 168, 103 (1999);
[CrossRef]

N. Korneev, �??Polarization chaos in nonlinear birefringent resonators,�?? Opt. Commun. 211, 153 (2002).
[CrossRef]

Opt. Express (1)

Opt. Lett. (4)

Phys. Rev. E (2)

M.J. Ablowitz, Z.H. Musslimani, �??Dark and gray strong dispersion-managed solitons,�?? Phys. Rev. E 67, 025601(R) (2003).
[CrossRef]

Ya.V. Kartashov, V.A. Vysloukh, E.Marti-Panameño, D.Artigas, and L.Torner, �??Dispersion-managed cnoidal pulse trains�??, Phys. Rev. E 68, 026613 (2003).
[CrossRef]

Phys.Rev. Lett. (1)

E. Infeld, �??Quantitative theory of the Fermi-Pasta-Ulam Resonance in the nonlinear Schrödinger equation,�?? Phys.Rev. Lett. 47, 717 (1981).
[CrossRef]

Other (1)

D.K. Arrowsmith, C.M. Place An introduction to Dynamical Systems, (Cambrige University Press, N.Y., 1990)

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