Localized structures in coupled Ginzburg-Landau equations
Chaotic Dynamics
2009-10-31 v1 Pattern Formation and Solitons
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.
Cite
@article{arxiv.nlin/0002053,
title = {Localized structures in coupled Ginzburg-Landau equations},
author = {Raul Montagne and Emilio Hernandez-Garcia},
journal= {arXiv preprint arXiv:nlin/0002053},
year = {2009}
}
Comments
7 pages, 3 postscript figures, uses the elsart style files. Related material availeble from http://www.imedea.uib.es/Nonlinear