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

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 strengthγ=1.0could be a transition point. In other words, forγ<1.0andγ⩾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.
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