  In this paper, we are going to solve nonlinear nonlocal reverse-time
six-component six-order AKNS system. We used reverse-time reduction to reduce
the coupled system to an integrable six-order NLS-type equation. Starting from
the spectral problem of the AKNS system, a Riemann-Hilbert problem will be
formulated. This formulation allows to generate soliton solutions by using the
vectors lying in the kernel of the matrix Jost solutions. When reflection
coefficients are zeros, the jump matrix is identity and the corresponding
Riemann-Hilbert problem yields soliton solutions, leading to explore their
dynamics.
