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We construct an M-solitons solutions in Jackiw-Pi model depends on 5Mparameters(two positions, one scale, one phase per solition and one charge ofeach solution). By using \phi -mapping method, we discuss the topologicalstructure of the self-duality solution in Jackiw-Pi model in terms of gaugepotential decomposition. We set up relationship between Chern-Simons vorticessolution and topological number which is determined by Hopf indices and andBrouwer degrees. We also give the quantization of flux in this case.Comment: 14 pages, 4 figure

TOPOLOGICAL STRUCTURE OF THE MANY VORTICES SOLUTION IN JACKIW–PI MODEL