Dynamics of vector bright solitons in one-dimensional Bose–Einstein condensate with time-dependent Raman coupling

We consider the dynamic stabilities of two solitons in one-dimensional trapless Bose–Einstein condensate with periodical tunable Raman coupling via numerical simulating and variational approximating the time-dependent Gross–Pitaevskii equations. It is found that dynamically stabilized vector bright solitons can be formed by modulating Raman coupling for cases of ɛsin(ωt) and ɛcos(ωt), and its evolution and movement show consistence with theoretical results. In addition, we found that the strength of spin–orbit coupling exerted a main effect on the moving distance of condensate, and different modulation frequency of Raman coupling exhibited different evolution of peak density for solitons.