In optical fibers, the nonlinear Schrdinger equation is a theoretical model for studying Akhmediev breather dynamics. Due to the material and characteristics of the fiber itself, including the variable-coefficients into the nonlinear Schrdinger equation is an effective method to reflect the non-uniform effects of nonlinear pulses. Based on the exact solution of the variable-coefficients Hirota equation, it studies the generation and transmission characteristics of the high-power pulse train in dispersion exponentially decreasing fiber in this paper. When the second-order dispersion takes the exponential form, breather can evolve into high- power pulse train with the increase of transmission distance that can propagate stably and the position zc of the stable high-power pulse train is closely related with the modulation intensity β0 and the attenuation index δ of the dispersion coefficient. The results show that the position zc of the stable high-power pulse train increases with the increase of parameter β0 and decreases with the increase of parameter δ. Therefore, the stable high-power pulse train can be formed at any position by adjusting the parameters β0 and a. In addition, the effect of the third-order dispersion on the high-power pulse train is discussed. It shows that the appropriate form of third-order dispersion does not affect the formation of high-power pulse train, while it affects the deviation degree and direction of the high-power pulse train. Finally, in the presence of gain or loss, the amplitude variations of the high-power pulse train during the propagation are studied. The results show that it can control the high-power pulse train by adjusting the parameters providing theoretical guidance for the application of optical communications in practice.