Lie group analysis for short pulse equation

Document Type : Original Article

Author

School of Mathematics, Iran University of Science and Technology

10.22060/ajmc.2020.18416.1032

Abstract

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 [2], and add some further facts, such as an optimal system of Lie symmetry subalgebras and two local symmetries.

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