文献类型：期刊文献

中文题名：Nonlocal Symmetry Reductions, CTE Method and Exact Solutions for Higher-Order KdV Equation

英文题名：Nonlocal Symmetry Reductions, CTE Method and Exact Solutions for Higher-Order KdV Equation

作者：任博[1];刘希忠[1];刘萍[2]

机构：[1]Institute of Nonlinear Science, Shaoxing University;[2]College of Electron and Information Engineering, University of Electronic Science and Technology of China Zhongshan Institute

年份：2015

卷号：63

期号：2

起止页码：125

中文期刊名：理论物理通讯：英文版

外文期刊名：Communications in Theoretical Physics

收录：CSTPCD、、CSCD2015_2016、Scopus、CSCD、PubMed

基金：Supported by the National Natural Science Foundation of China under Grant Nos.11305106,11405110,11305031,and 11275129;the Natural Science Foundation of Zhejiang Province of China under Grant No.LQ13A050001;the Natural Science Foundation of Guangdong Province under Grant No.S2013010011546

语种：中文

中文关键词：高阶KDV方程;精确解;CTE;局部对称;高阶KdV方程;KDV系统;对称变换;膨胀系数

外文关键词：higher-order KdV equation, nonlocal symmetry, symmetry reduction, CTE method

中文摘要：The nonlocal symmetries for the higher-order KdV equation are obtained with the truncated Painlev′e method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing suitable prolonged systems.The finite symmetry transformations and similarity reductions for the prolonged systems are computed. Moreover, the consistent tanh expansion(CTE) method is applied to the higher-order KdV equation. These methods lead to some novel exact solutions of the higher-order KdV system.

外文摘要：The nonlocal symmetries for the higher-order KdV equation are obtained with the truncated Painlev6 method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing suitable prolonged systems. The finite symmetry transformations and similarity reductions for the prolonged systems are computed. Moreover, the consistent tanh expansion （CTE） method is applied to the higher-order KdV equation. These methods lead to some novel exact solutions of the higher-order KdV system.