Localized structures in coupled Ginzburg-Landau equations
arXiv:nlin/0002053 · doi:10.1016/S0375-9601(00)00472-2
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.
7 pages, 3 postscript figures, uses the elsart style files. Related material availeble from http://www.imedea.uib.es/Nonlinear