Pipe Shape Solution of Faddeev Model

Utilizing the results that the Faddeev model is equivalent to the mesonic sector of the SU(2) Skyrme model, where the baryon number current vanishes everywhere, some exact solutions including the vortex solutions of the Faddeev model are discussed. The solutions are classified by the first Chern number. When the Chern number equals 2, the new multisoliton solutions are obtained and the pipe shape distribution of the energy density of the solutions are found.