Abstract
We present an approximate solution of the two-component Ginzburg-Landau equation for a broad class of initial conditions. Our method of solution is based on a novel singular perturbation expansion. Specifically, we consider the formation of vortex- antivortex pairs, from an initial condition consisting of small random fluctuations about zero. The analytic solution compares reasonably well with the results of a numerical integration of the two-component Ginzburg-Landau equation.
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