Approximate solutions of the two-component Ginzburg-Landau equation

Puri, Sanjay ; Roland, Christopher (1990) Approximate solutions of the two-component Ginzburg-Landau equation Physics Letters A, 151 (9). pp. 500-504. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037596...

Related URL: http://dx.doi.org/10.1016/0375-9601(90)90468-4

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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