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On some localized solutions of coupled Ginzburg-Landau equations

AuthorsMontagne, Raúl; Hernández-García, Emilio CSIC ORCID
Issue Date1-Apr-2004
PublisherKluwer Academic Publishers
CitationInstabilities and Nonequilibrium Structures VII & VIII, edited by Orazio Descalzi, Javier Martínez, and Enrique Tirapegui, 273-279 (2004)
SeriesNonlinear Phenomena and Complex Systems ; 8
AbstractCoupled 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.
Description7 pages, 3 figures.-- Book TOC available at Google Books:
The contents of this book correspond to Sessions VII and VIII of the International Workshop on Instabilities and Nonequilibrium Structures which took place in Viña del Mar, Chile, in December 1997 and December 1999, respectively. Part I is devoted to self-contained courses. Three courses are related to new developments in Bose-Einstein condensation: the first one by Robert Graham studies the classical dynamics of excitations of Bose condensates in anisotropic traps, the second by Marc Etienne Brachet refers to the bifurcations arising in attractive Bose-Einstein condensates and superfluid helium and the third course by André Verbeure is a pedagogical introduction to the subject with special emphasis on first principles and rigorous results. Part I is completed by two courses given by Michel Moreau: the first one on diffusion limited reactions of particles with fluctuating activity and the second on the phase boundary dynamics in a one dimensional nonequilibrium lattice gas. Part II includes a selection of invited seminars at both Workshops.
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