Noncoaxial multivortices in the complex sine-Gordon theory on the plane
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2002-11-01
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Barashenkov, I. V.
Shchesnovich, V. S. [UNESP]
Adams, R. M.
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We construct explicit multivortex solutions for the complex sine-Gordon equation (the Lund-Regge model) in two Euclidean dimensions. Unlike the previously found (coaxial) multivortices, the new solutions comprise n single vortices placed at arbitrary positions (but confined within a finite part of the plane.) All multivortices, including the single vortex, have an infinite number of parameters. We also show that, in contrast to the coaxial complex sine-Gordon multivortices, the axially-symmetric solutions of the Ginzburg-Landau model (the stationary Gross-Pitaevskii equation) do not belong to a broader family of noncoaxial multivortex configurations.
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Nonlinearity, v. 15, n. 6, p. 2121-2146, 2002.