A motion of spacelike curves in the Minkowski 3-space and the KdV equation

This Letter shows that soliton solutions to KdV equation describe a motion of spacelike curves in R2,1R2,1 with initial data being suitably restricted. This gives a different geometric interpretation of KdV from that given recently by Musso and Nicolodi, and gives a unified geometric explanation for KdV and MKdV.