  A dynamical theory is presented for the domain wall in the spinor
Bose-Einstein condensate of "effective"one-dimension. The formulation is based
on the time-dependent Landau-Ginzburg (LG) theory written in terms of the
spinor order parameter. The procedure is carried out in such a way that an
adiabatic change of the collective coordinates; the kink position as well as
the phase function built in the spinor, is adapted to the canonical term (alias
geometric phase) in the LG Lagrangian. Two problems are discussed: The first
one is to explore the translational motion of the kink center in the presence
of the pinning potential, which results in the quantum potential problem. The
other one concerns the "steering" of the domain wall by modulating the
externally driven magnetic field assisted with dissipation. The present attempt
would shed light on the spinor Bose- Einstein condensates from a novel
viewpoint.
