%0 Journal Article
%T Analytical solutions to the spin-1 Bose-Einstein condensates
%A Zhi-Hai Zhang
%A Cong Zhang
%A Shi-Jie Yang
%A Shiping Feng
%J Physics
%D 2012
%I arXiv
%R 10.1088/0953-4075/45/21/215302
%X We analytically solve the one-dimensional coupled Gross-Pitaevskii equations which govern the motion of F=1 spinor Bose-Einstein condensates. The nonlinear density-density interactions are decoupled by making use of the unique properties of the Jacobian elliptical functions. Several types of complex stationary solutions are deduced. Furthermore, exact non-stationary solutions to the time-dependent Gross-Pitaevskii equations are constructed by making use of the spin-rotational symmetry of the Hamiltonian. The spin-polarizations exhibit kinked configurations. Our method is applicable to other coupled nonlinear systems.
%U http://arxiv.org/abs/1202.3197v2