Soliton-soliton interaction in F=1 spinor Bose-Einstein condensates

We consider a cold atomic gas with hyperfine spin F=1 at zero temperature. It was found that the multi-component Gross- Pitaevskii equations describing the dynamics of a spinor Bose- Einstein condensate in one dimension have one soliton solution. We derive an exact expression for two-soliton solution in order to investigate spin dependent forces among solitons. We also examine soliton-soliton collisions and show some aspects of the spin mixing dynamics and bound state formation in low-energy collisions.