Algebraic solitons in the parity-time-symmetric nonlocal nonlinear Schrodinger model

In this paper, via the generalized Darboux transformation, the algebraic soliton solutions are derived for the parity-time-symmetric nonlocal nonlinear Schrodinger model with the defocusing-type nonlinearity. The first-order solution can exhibit the elastic interactions of algebraic antidark-antidark, dark-antidark, or antidark-dark soliton pair on a continuous wave background, but there is no phase shift for the interacting solitons. For the particular degenerate case, there appears only one segmented algebraic dark or antidark soliton. The higher-order algebraic solutions are also discussed, which shows that the higher-order terms just contribute to some small fluctuation in the near-field region. Some examples of algebraic soliton interactions are illustrated graphically.