Domain wall soliton in a trapped spin-1 atomic Bose-Einstein condensate

Solitons are interesting phenomenon in nonlinear systems, including atomic Bose-Einstein condensates. We investigate numerically a soliton state of a ferromagnetically interacting spin-1 condensate confined in a cigar shaped harmonic trap. The dynamics of this soliton, described by the coupled Gross- Pitaevskii equations within the mean field theory frame, is stable and intimately related to the recently observed domain structures in spin-1 condensate and similar to the domain wall soliton in two-component condensates. We present a rotating reference frame in which the local spin dynamics of the soliton becomes time independent.