In this paper, a linear partial differential mathematical choreography model is proposed for the accuracy of action recognition in dance rehearsal systems. This paper more accurately represents the action change features. The article uses the pyramid algorithm (LK) to calculate pixels’ optical flow vector change in dt time. Then this paper adopts a multi-feature fusion module to fuse multi-channel features. Finally, the system completes the accurate identification of dance choreography movements. The research results show that the algorithm can perform dance movement recognition. The dance rehearsal system realizes the movement correction of dancers.