A high order coupled nonlinear Schrdinger equation suitable for ultra-short Airy pulses is solved by means of the split-step Fourier transform method,and the evolution of the interaction of ultra-short Airy pulses propagating in fibers is numerically simulated by Matlab software.The results show that the negative third-order dispersion effect accelerates the penetration of wave packets and makes ultra-short pulses propagate over a long distance.In contrast,the positive third-order dispersion effect slows d...