Document Type : Original Article
School of Mathematics, Iran University of Science and Technology
In this paper, the classical Lie symmetry analysis and the generalized form of Lie symmetry method are performed for a general short pulse equation. The point, contact and local symmetries for this equation are given. In this paper, we generalize the results of H.~Liu and J.~Li, and add some further facts, such as optimal system of Lie symmetry sub-algebras and two local symmetries.