标题：Complete group classification and exact solutions to the extended short pulse equation
作者：Hanze Liu;Jibin Li;Lei Liu
作者机构：[Liu, H] Department of Mathematics, Binzhou University, Binzhou, Shandong 256603, China;[ Li, J] Department of Mathematics, Zhejiang Normal University 更多
通讯作者地址：[Liu, HZ]Binzhou Univ, Dept Math, Binzhou 256603, Shandong, Peoples R China.
来源：International journal of non-linear mechanics
关键词：extended short pulse equation;lie group classification;symmetry reduction;exact solution
摘要：In this paper, the complete group classification is performed on the extended short pulse equation (ESPE), which including many important non-linear wave equations as its special cases. In the sense of geometric symmetry, all of the vector fields of the equation are obtained in terms of the arbitrary parameters of the equation. Furthermore, the symmetry reductions and exact solutions to the short pulse types of equations are investigated, and the physical significance of the solutions are considered from the transformation group point of view.