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Exact Localized and Periodic Solutions of the Discrete Complex Ginzburg-Landau Equation

Maruno, K-I; Ankiewicz, Adrian; Akhmediev, Nail


We study, analytically, the discrete complex cubic Ginzburg-Landau (dCCGL) equation. We derive the energy balance equation for the dCCGL and consider various limiting cases. We have found a set of exact solutions which includes as particular cases periodic solutions in terms of elliptic Jacobi functions, bright and dark soliton solutions, and constant magnitude solutions with phase shifts. We have also found the range of parameters where each exact solution exists. We discuss the common...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Optics Communications
DOI: 10.1016/S0030-4018(03)01457-3


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