SHOOTING METHOD FOR VORTEX SOLUTIONS OF A COMPLEX-VALUED GINZBURG-LANDAU EQUATION

Authors
CHEN XF ELLIOTT CM QI T
Citation
Xf. Chen et al., SHOOTING METHOD FOR VORTEX SOLUTIONS OF A COMPLEX-VALUED GINZBURG-LANDAU EQUATION, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 124, 1994, pp. 1075-1088
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
124
Year of publication
1994
Part
6
Pages
1075 - 1088
Database
ISI
SICI code
0308-2105(1994)124:<1075:SMFVSO>2.0.ZU;2-J
Abstract
In this paper, we study all the stationary solutions of the form u(r)e (in theta) to the complex-valued Ginzburg-Landau equation on the compl ex plane: here (r, theta) are the polar coordinates, i = root-1, and n is any real number. In particular, we show that there exists a unique solution which approaches to a nonzero constant as r --> infinity.