中文摘要：

We construct exact stationary solutions to the one-dimensional coupled Gross–Pitaevskii equations for the two-species Bose–Einstein condensates with equal intraspecies and interspecies interaction constants.Three types of complex solutions as well as their soliton limits are derived.By making use of the SU(2)unitary symmetry,we further obtain analytical time-evolving solutions.These solutions exhibit spatiotemporal periodicity.

英文摘要：

We construct exact stationaxy solutions to the one-dimensional coupled Gross-Pitaevskii equations for the two-species Bose-Einstein condensates with equal intraspecies and interspecies interaction constants. Three types of complex solutions as well as their soliton limits axe derived. By making use of the SU（2） unitary symmetry, we further obtain analytical time-evolving solutions. These solutions exhibit spatiotemporal periodicity.