Based on the process of broadband chirped pulse with small-scale self-focusing, spatial-temporal nonlinear Schrdinger equation is used for calculation. The temporal evolutions in different spatial positions have been investigated, especially the modulation peak and the modulation bottom in space. The results show that temporal evolutions in different spatial positions are completely different. The pulse width at modulation peak in space is decreasing with the increasing of transmission distance, and it will reach minimum when the intensity of modulation peak reaches maximum. However, the pulse width at modulation bottom is always broadend. In the end, chirps on the impact of temporal revolution in different locations have been studied. Negative chirp accelerates the pulse compression of modulation peak, but it inhibites the pulse broadening of modulation bottom. However, the positive chirp is counterproductive.