Noncoaxial multivortices in the complex sine-Gordon theory on the plane

I. V. Barashenkov; V. S. Shchesnovich; R. Adams

doi:10.1088/0951-7715/15/6/317

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arXiv · nlin/0202018

Noncoaxial multivortices in the complex sine-Gordon theory on the plane

I. V. Barashenkov·V. S. Shchesnovich·R. Adams

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Abstract

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) {\it do not} belong to a broader family of noncoaxial multivortex configurations.

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nlin.SI cond-mat.supr-con hep-th math-ph math.AP math.MP nlin.AO nlin.PS physics.flu-dyn physics.optics

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I. V. Barashenkov, V. S. Shchesnovich, R. Adams. 2002-02-06. Noncoaxial multivortices in the complex sine-Gordon theory on the plane. https://doi.org/10.1088/0951-7715%2F15%2F6%2F317

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