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 Backlund transformations are interpreted as the Schlesinger transformations of the fifth Painleve equation.

10 pages, 1 figure

References in corpus (1)

• ${\Phi }^{(2)}$ Perturbations of WZW Model

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