By using a dynamical system method, in this paper studied are some exact traveling wave solutions and dynamic behaviors of these traveling wave solutions for simplified model of Gross-Pitaevskii (GP) equation in the 1D-Tonks-Girardeau gas. The effects of the behaviors on the parameters of the systems are also studied. Under different parametric conditions, six exact explicit parametric representations of the traveling wave solutions for simplified model of GP equation in the 1D-Tonks-Girardeau gas are given.