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, ‎and add some ‎further facts, ‎such as optimal system of Lie symmetry sub-algebras and two ‎local symmetries.

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