Abstract
By considering the conformable fractional derivative to modify the discrete Riccati equation mapping method, we obtain rich vector exact solutions for the coupled discrete conformable fractional nonlinear Schrödinger equations, including the vector bright solitons, the vector dark solitons and the vector trigonometric function solutions. The parameter range existing these vector exact solutions is also given. The influence of parameters related to the group velocity and the effect of fractional derivatives on the amplitude modulation of wave is investigated.
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