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We have examined vortex solutions in (2+1)D Chern-Simons-Higgs theory which has no usual Maxwell term. It is shown that the Bogomol'nyi-type equations can be derived for a simple sixth-order Higgs potential and corresponding general n-vortex solutions should contain 2n free parameters. Various characteristics of Chern-Simons vortices are discussed briefly.
Hong et al. (Mon,) studied this question.