  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.
