Exact N-vortex solutions to the Ginzburg-Landau equations for κ=1/2

The N-vortex solutions to the two-dimensional Ginzburg-Landau equations for the κ=1/2 parameter are built. The exact solutions are derived for the vortices with large numbers of the magnetic flux quanta. The size of the vortex core is supposed to be much greater than the magnetic-field penetration depth. In this limiting case the problem is reduced to the determination of the vortex core shape. The corresponding nonlinear boundary problem is solved by means of the methods of the theory of analytic functions.