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

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 could be a transition point. In other words, for and , 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.