Lie symmetry analysis and exact solutions for the short pulse equation Original Research Article

In this paper, the Lie symmetry analysis and the generalized symmetry method are performed for a short pulse equation (SPE). The symmetries for this equation are given. For the traveling wave solutions, the exact parametric representations are investigated. To guarantee the existence of the above solutions, all parameter conditions are determined. Furthermore, the exact analytic solutions are obtained by using the power series method.