Oscillatory nondegenerate solitons in spin-orbit coupled spin-1/2 Bose-Einstein condensates with weak Raman coupling

The three types of oscillatory nondegenerate solitons including asymmetric double-hump soliton, symmetric double-hump soliton and double-hump-single-hump soliton in the spin-orbit coupled spin-1/2 Bose-Einstein condensates (BECs) with weak Raman coupling are investigated. The spatial and temporal oscillation periods of solitons induced by the spin-orbit coupling (SOC) and Raman resonance detuning are found, respectively. Under the spatiotemporal reversal parity-time (PT) symmetric potentials, the parabolic, periodic and bound solitons are presented. The collision between nondegenerate-nondegenerate solitons is completely elastic, but interaction process of degenerate-degenerate and nondegenerate-degenerate solitons can be both elastic and inelastic.