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Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation

Tsoy, Eduard N; Ankiewicz, Adrian; Akhmediev, Nail


Finite-dimensional dynamical models for solitons of the cubic-quintic complex Ginzburg-Landau equation CGLE are derived. The models describe the evolution of the pulse parameters, such as the maximum amplitude, pulse width, and chirp. A clear correspondence between attractors of the finite-dimensional dynamical systems and localized waves of the continuous dissipative system is demonstrated. It is shown that stationary solitons of the CGLE correspond to fixed points, while pulsating...[Show more]

CollectionsANU Research Publications
Date published: 2006-03-29
Type: Journal article
Source: Physical Review E-Statistical, Nonlinear and Soft Matter Physics
DOI: 10.1103/PhysRevE.73.036621


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