Nonlocal Symmetry Reductions,CTE Method and Exact Solutions for Higher-Order KdV Equation |
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| Authors: | REN Bo LIU Xi-Zhong LIU Ping |
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| Affiliation: | 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 |
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| Abstract: | The nonlocal symmetries for the higher-order KdV equation are obtained with the truncated Painlevé 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. |
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| Keywords: | higher-order KdV equation nonlocal symmetry symmetry reduction CTE method |
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