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On some localized solutions of coupled Ginzburg-Landau equations

Montagne,R.; Hernandez-Garcia, E.
Instabilities and Nonequilibrium Structures VII & VIII, edited by Orazio Descalzi, Javier Martínez, and Enrique Tirapegui , Kluwer academic publishers, Dordrecht 273-279 (2004)

Coupled Complex Ginzburg-Landau equations describe generic features of the dynamics of coupled fields when they are close to instabilities leading to nonlinear oscillations. We study numerically this equation set within a particular range of parameters, and find uniformly propagating localized objects behaving as coherent structures. Some of the localized objects found are interpreted in terms of exact analytical solutions.