By using φ-mapping topological current theory and gauge potential decomposition,we discuss the self-dual equation and its solution in the SU(N) Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function.For the SU(3) case,we obtain a new self-duality solution and find the relationship between the soliton solution and topological number which is determined by the Hopf index and Brouwer degree of φ-mapping.In our solution,the flux of this soliton is naturally quantized.