Exact vortex solutions of the complex sine-Gordon theory on the plane
High Energy Physics - Theory
2009-10-31 v1 Exactly Solvable and Integrable Systems
solv-int
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 Backlund transformations are interpreted as the Schlesinger transformations of the fifth Painleve equation.
Keywords
Cite
@article{arxiv.hep-th/9807045,
title = {Exact vortex solutions of the complex sine-Gordon theory on the plane},
author = {I. V. Barashenkov and D. E. Pelinovsky},
journal= {arXiv preprint arXiv:hep-th/9807045},
year = {2009}
}
Comments
10 pages, 1 figure