Journal article
Exact vortex solutions of the complex sine-Gordon theory on the plane
Abstract
We construct explicit multivortex solutions for the first and second complex sine-Gordon equations. The constructed solutions are expressible in terms of the modified Bessel and rational functions, respectively. The vorticity-raising and lowering Bäcklund transformations are interpreted as the Schlesinger transformations of the fifth Painlevé equation.
Authors
Barashenkov IV; Pelinovsky DE
Journal
Physics Letters B, Vol. 436, No. 1-2, pp. 117–124
Publisher
Elsevier
Publication Date
September 1998
DOI
10.1016/s0370-2693(98)00841-7
ISSN
0370-2693