Stability properties of vector solitons in two-component Bose–Einstein condensates with tunable interactions

By using a unified theory of the formation of various types of vector-solitons in two-component Bose–Einstein condensates with tunable interactions, we obtain a family of exact vector-soliton solutions for the coupled nonlinear Schrödinger equations. Moreover, the Bogoliubov equation shows that there exists stable dark soliton in specific situations. Our results open up new ways in considerable experimental interest for the quantum control of multi-component Bose–Einstein condensates.