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Abstract
The Jackiw-Pi equation, which is one of the integrable vortex equations, is studied on a torus, a compact Riemann surface of genus one. The solutions are given in terms of doubly periodic functions, i.e., the elliptic functions. We reconsider the Jackiw-Pi vortex on a torus and provide the analytical method for determining the vortex number with explicit examples.
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1 Department of Physics, School of Science, Kitasato University Sagamihara 252-0373 , Japan