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:Liu, H
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
出版年:2012
卷:47
期:6
页码:694-698
DOI:10.1016/j.ijnonlinmec.2011.11.006
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.
收录类别:EI;SCOPUS;SCIE
WOS核心被引频次:2
Scopus被引频次:2
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84861573351&doi=10.1016%2fj.ijnonlinmec.2011.11.006&partnerID=40&md5=fb312c21c13bf5ef225556e7452f492f
TOP