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Localized structures in coupled Ginzburg-Landau equations

Raul Montagne·Emilio Hernandez-Garcia
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Abstract

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

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Raul Montagne, Emilio Hernandez-Garcia. 2000-02-29. Localized structures in coupled Ginzburg-Landau equations. https://doi.org/10.1016/s0375-9601(00)00472-2

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