  The integrable nonlocal nonlinear Schrodinger (NNLS) equation with the
self-induced parity-time-symmetric potential [Phys. Rev. Lett. 110 (2013)
064105] is investigated, which is an integrable extension of the standard NLS
equation. Its novel higher-order rational solitons are found using the nonlocal
version of the generalized perturbation (1, N-1)-fold Darboux transformation.
These rational solitons illustrate abundant wave structures for the distinct
choices of parameters (e.g., the strong and weak interactions of bright and
dark rational solitons). Moreover, we also explore the dynamical behaviors of
these higher-order rational solitons with some small noises on the basis of
numerical simulations.
