Dynamics of Defects in the Vector Complex Ginzburg-Landau Equation

Details Dynamics of Defects in the Vector Complex Ginzburg-Landau Equation Dynamics of Defects in the Vector Complex Ginzburg-Landau Equation

2001-10-09

arxiv.org/abs/nlin/0110017v1

Physica D 174 , 176-197 (2003)

Nonlinear Sciences

Pattern Formation and Solitons

35 pages of LATeX, using the elsart macros. Includes 17 (large) figures. Related material, including movies and higher resolut

Scientific paper

10.1016/S0167-2789(02)00690-5

Coupled Ginzburg-Landau equations appear in a variety of contexts involving instabilities in oscillatory media. When the relevant unstable mode is of vectorial character (a common situation in nonlinear optics), the pair of coupled equations has special symmetries and can be written as a vector complex Ginzburg-Landau equation. Dynamical properties of localized structures of topological character in this vector-field case are considered. Creation and annihilation processes of different kinds of vector defects are described, and some of them interpreted in theoretical terms. A transition between different regimes of spatiotemporal dynamics is described.

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