I.V. Barashenkov and D.E. Pelinovsky
Exact vortex solutions of the complex sine-Gordon theory on the plane
Phys. Lett. B 436, 117-124 (1998)
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:
INTEGRABLE RELATIVISTIC EQUATIONS, SOLITON SOLUTIONS,
NONVANISHING BACKGROUNDS, MODELS