  Recent theoretical and experimental research has explored magnetic solitons
in binary Bose-Einstein condensates (BECs). Here we demonstrate that such
solitons are part of an SO(3) soliton family when embedded within a full
three-component spin-1 manifold with spin-rotational symmetry. To showcase
this, we have experimentally created a new type of domain wall magnetic soliton
(DWMS) obtained by 90 degree rotations, which consist of a boundary between
easy-axis and easy-plane polar phases. Collisions between SO(3) solitons are
investigated by numerically solving the Gross-Pitaevskii equations, which
exhibit novel properties including rotation and dissipation of soliton spin
polarization.
