Lie group analysis for short pulse equation

Mathematics – Analysis of PDEs

Scientific paper

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6 pages

Scientific paper

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

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