Spatiotemporal optical solitons in nonlinear dissipative media: From stationary light bullets to pulsating complexes

Nail Akhmediev; J. M. Soto-Crespo; Philippe Grelu

doi:10.1063/1.2746830

Spatiotemporal optical solitons in nonlinear dissipative media: From stationary light bullets to pulsating complexes

Nail Akhmediev^*, J. M. Soto-Crespo, Philippe Grelu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

69 Citations (Scopus)

Abstract

Nonlinear dissipative systems display the full (3+1) D spatiotemporal dynamics of stable optical solitons. We review recent results that were obtained within the complex cubic-quintic Ginzburg-Landau equation model. Numerical simulations reveal the existence of stationary bell-shaped (3+1) D solitons for both anomalous and normal chromatic dispersion regimes, as well as the formation of double soliton complexes. We provide additional insight concerning the possible dynamics of these soliton complexes, consider collision cases between two solitons, and discuss the ways nonstationary evolution can lead to optical pattern formation.

Original language	English
Article number	037112
Journal	Chaos
Volume	17
Issue number	3
DOIs	https://doi.org/10.1063/1.2746830
Publication status	Published - 2007

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abstract = "Nonlinear dissipative systems display the full (3+1) D spatiotemporal dynamics of stable optical solitons. We review recent results that were obtained within the complex cubic-quintic Ginzburg-Landau equation model. Numerical simulations reveal the existence of stationary bell-shaped (3+1) D solitons for both anomalous and normal chromatic dispersion regimes, as well as the formation of double soliton complexes. We provide additional insight concerning the possible dynamics of these soliton complexes, consider collision cases between two solitons, and discuss the ways nonstationary evolution can lead to optical pattern formation.",

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AU - Grelu, Philippe

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AB - Nonlinear dissipative systems display the full (3+1) D spatiotemporal dynamics of stable optical solitons. We review recent results that were obtained within the complex cubic-quintic Ginzburg-Landau equation model. Numerical simulations reveal the existence of stationary bell-shaped (3+1) D solitons for both anomalous and normal chromatic dispersion regimes, as well as the formation of double soliton complexes. We provide additional insight concerning the possible dynamics of these soliton complexes, consider collision cases between two solitons, and discuss the ways nonstationary evolution can lead to optical pattern formation.

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Spatiotemporal optical solitons in nonlinear dissipative media: From stationary light bullets to pulsating complexes

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