Bright–dark solitons in the space-shifted nonlocal coupled nonlinear Schrödinger equation

Multiple bright–dark soliton solutions in terms of determinants for the space-shifted nonlocal coupled nonlinear Schrödinger equation are constructed by using the bilinear (Kadomtsev–Petviashvili) KP hierarchy reduction method. It is found that the bright–dark two-soliton only occurs elastic collisions. Upon their amplitudes, the bright two solitons only admit one pattern whose amplitude are equal, and the dark two solitons have three different non-degenerated patterns and two different degenerated patterns. The bright–dark four-soliton is the superposition of the two-soliton pairs and can generate the bound-state solitons. The multiple double-pole bright–dark soliton solutions are derived through a long wave limit of the obtained bright–dark soliton solutions, and their collision dynamics are also investigated.