Magnetic Soliton and Soliton Collisions of Spinor Bose-Einstein   Condensates in an Optical Lattice
  We study the magnetic soliton dynamics of spinor Bose-Einstein condensates in an optical lattice which results in an effective Hamiltonian of anisotropic pseudospin chain. A modified Landau-Lifshitz equation is derived and exact magnetic soliton solutions are obtained analytically. Our results show that the time-oscillation of the soliton size can be controlled in practical experiment by adjusting of the light-induced dipole-dipole interaction. Moreover, the elastic collision of two solitons is investigated. 
Z. D. Li, P. B. He, L. Li, J. Q. Liang, and W. M. Liu