Exact vortex solutions of the complex sine-Gordon theory on the plane

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, 1 figure

Scientific paper

10.1016/S0370-2693(98)00841-7

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.

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