Two ground-state bright solitons in fractional-order spin–orbit-coupled Bose–Einstein condensates

Abstract

Abstract We study two types of bright solitons in zero and non-zero detuning spin–orbit-coupled (SOC) Bose–Einstein condensates in fractional effect by variational and imaginary-time evolution method. The results show that the variation of SOC with fractional kinetic energy operator affects the existence and form of solitons. In particular, we found that SOC strength γ = 1.0 could be a transition point. In other words, for γ < 1.0 and γ ⩾ 1.0 , the soliton states and pseudo-spin polarization in non-zero detuning show opposite changes. In addition, moving bright solitons with zero and non-zero detuning are studied.