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In this paper, we are going to solve nonlinear nonlocal reverse-timesix-component six-order AKNS system. We used reverse-time reduction to reducethe coupled system to an integrable six-order NLS-type equation. Starting fromthe spectral problem of the AKNS system, a Riemann-Hilbert problem will beformulated. This formulation allows to generate soliton solutions by using thevectors lying in the kernel of the matrix Jost solutions. When reflectioncoefficients are zeros, the jump matrix is identity and the correspondingRiemann-Hilbert problem yields soliton solutions, leading to explore theirdynamics.

Riemann-Hilbert problems of a non-local reverse-time AKNS system of six-order and dynamical behaviours of $N$-soliton