Two-component stripe soliton states in spin-1/2 spin–orbit-coupled Bose–Einstein condensates

This work presents various types of stripe solitons of the one-dimensional two-component Gross–Pitaevskii (GP) equation, which can be used to describe the dynamic evolution of matter–waves in the spin-1/2 spin–orbit-coupled Bose–Einstein condensates (BECs). Firstly, in the absence of Rabi coupling, the approximate bright and dark stripe solitons are constructed by the multi-scale expansion method, which are formed by the linear superposition of two lowest symmetric states in its linear energy spectrum. Secondly, in the absence of Zeeman splitting, exact nondegenerate and degenerate bright stripe solitons as well as the degenerate dark stripe solitons of the integrable GP equation are obtained by the Hirota’s bilinear method. Finally, the transmission stability of stripe solitons and the interaction between two stripe solitons are discussed.