  In this paper, we investigate a general integrable nonlocal coupled nonlinear
schr\"odinger (NLS) system with the the parity-time (PT) symmetry, which
contains not only the nonlocal self-phase modulation and the nonlocal
cross-phase modulation, but also the nonlocal four-wave mixing terms. This
nonlocal coupled NLS system is a nonlocal version of a coupled NLS system. The
general Nth Darboux transformation for the nonlocal coupled NLS equation is
constructed. By using the Darboux transformation, its soliton solutions are
obtained.

Exactly Solvable and Integrable Systems