文献类型：期刊文献

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

作者：Ren Bo[1];Liu Xi-Zhong[1];Liu Ping[2]

机构：[1]Shaoxing Univ, Inst Nonlinear Sci, Shaoxing 312000, Peoples R China;[2]Univ Elect Sci & Technol China, Zhongshan Inst, Coll Electron & Informat Engn, Zhongshan 528402, Peoples R China

年份：2015

卷号：63

期号：2

起止页码：125

外文期刊名：COMMUNICATIONS IN THEORETICAL PHYSICS

收录：SCI-EXPANDED(收录号：WOS:000352209000001)、、WOS

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, and the Natural Science Foundation of Guangdong Province under Grant No. S2013010011546

语种：英文

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

外文摘要：The nonlocal symmetries for the higher-order KdV equation are obtained with the truncated Painleve 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 (GTE) method is applied to the higher-order KdV equation. These methods lead to some novel exact solutions of the higher-order KdV system.