Shooting method for vortex solutions of a complex-valued Ginzburg–Landau equation
- 1 January 1994
- journal article
- Published by Cambridge University Press (CUP) in Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Vol. 124 (6) , 1075-1088
- https://doi.org/10.1017/s0308210500030122
Abstract
In this paper, we study all the stationary solutions of the form u(r)e inθ 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 → ∞.Keywords
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