%0 Journal Article
%T Mobile vector soliton in a spin-orbit coupled spin-$1$ condensate
%A Sandeep Gautam
%A S. K. Adhikari
%J Physics
%D 2015
%I arXiv
%R 10.1088/1612-2011/12/4/045501
%X We study the formation of bound states and three-component bright vector solitons in a quasi-one-dimensional spin-orbit-coupled hyperfine spin $f=1$ Bose-Einstein condensate using numerical solution and variational approximation of a mean-field model. In the antiferromagnetic domain, the solutions are time-reversal symmetric, and the component densities have multi-peak structure. In the ferromagnetic domain, the solutions violate time-reversal symmetry, and the component densities have single-peak structure. The dynamics of the system is not Galelian invariant. From an analysis of Galelian invariance, we establish that the single-peak ferromagnetic vector solitons are true solitons and can move maintaining constant component densities, whereas the antiferromagnetic solitons cannot move with constant component densities.
%U http://arxiv.org/abs/1505.06193v1