Spin-orbit coupled spin-1 Bose-Einstein condensate flow past an obstacle in the presence of a Zeeman field

We study the dynamics of a Rashba spin-orbit coupled spin-1 ferromagnetic Bose-Einstein condensate under a linear Zeeman magnetic field(ZF) disturbed by a moving obstacle. The Bogoliubov excitation spectrums and corresponding critical excitations in different situations are analyzed. The structure of the coreless vortex or antivortex generated by the moving obstacle has been investigated. When the ZF is applied along x direction, the vortex cores for the three components of a(an) vortex(antivortex) could be arranged into a vertical line, and their order would be reversed as the spin-orbit coupling increases. When the ZF is parallel to z direction, a skyrmion-like vortex ground state could be induced even by a static obstacle. This topological structure is also found to be dynamically stable if the obstacle is moving at a relatively small velocity.