Abstract: From the nonlinear Schrdinger equation,the quasi-nonlinear Schrdinger equation of the soliton pulse propagation with slowly decreasing dispersion management soliton in the total internal reflective photonic crystal fibers under Compton scattering has been worked out.Numerical simulation shows that the coupling optical pulses can have greater compressed effect of the soliton,acute vibration effect of the soliton and acute diverging soliton state effect than that before the scattering.For keeping the propag...