The evolution of ASE noise and the generation of nonlinear phase shift are analyzed based on the travelling wave solution of ASE noise and its probability density function by solving the Fokker-Planck equation including dispersion effect. Nonlinear effect has strong impact on ASE noise. After the transmission in non-zero dispersion shift fibers + dispersion compensation fibers, due to the nonlinear effect, ASE noise is enhanced. Detailedly, the real part of ASE decreases but the image part increases greatly compared to that with dispersion effect only. Nonlinear phase shift, related to the image part of ASE noise, occurs in this kind of link. The impact of signal intensity on ASE noise induces fluctuations to the both curves of ASE noise and nonlinear phase shift as functions of time, respectively. Furthermore, it results in the non-Gaussian distribution of ASE noise probability density function (side-bands occurring) and brings more than 1 dB additive BER.