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Shooting method for vortex solutions of a complex-valued Ginzburg–Landau equation

  • Xinfu Chen (a1), Charles M. Elliott (a2) and Tang Qi (a2)

Abstract

In this paper, we study all the stationary solutions of the form u(r)einθ to the complex-valued Ginzburg–Landau equation on the complex plane: here (r, θ) are the polar coordinates, and n is any real number. In particular, we show that there exists a unique solution which approaches to a nonzero constant as r → ∞.

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