Nonlocal Symmetry Reductions, CTE Method and Exact Solutions for Higher-Order KdV Equation
- ISSN号:0253-6102
- 期刊名称:《理论物理通讯:英文版》
- 时间:0
- 分类:O175.29[理学—数学;理学—基础数学] TN914[电子电信—通信与信息系统;电子电信—信息与通信工程]
- 作者机构:[1]Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China, [2]College of Electron and Information Engineering, University of Electronic Science and Technology of China Zhongshan Institute, Zhongshan 528402, China
- 相关基金: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
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, higher-order KdV equation, nonlocal symmetry, symmetry reduction, CTE method
中文摘要:
为高顺序的 KdV 方程的非局部的对称与截断的 Painlev 被获得
英文摘要:
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.