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| 广义KdV方程的对称约化和级数解 | |
| 引用本文： | 王清. 广义KdV方程的对称约化和级数解[J]. 华北科技学院学报, 2014, 0(10): 103-105 |
| 作者姓名： | 王清 |
| 作者单位： | 华北科技学院基础部,北京 东燕郊,101601 |
| 基金项目： | 中央高校基本科研资助资金，华北科技学院校级重点学科资助 |
| 摘 要： | 在非线性科学中,很多问题通过非线性发展方程来描述,那么求出其精确解显得尤为重要。文中基于李对称理论分析了广义Kd V方程,研究精确解的求解。首先获得有限维李对称,结合向量场的伴随表示构造了优化系统,其次基于对称约化,得到了包含行波解和级数解在内的精确解。 |
| 关 键 词： | 李对称 行波解 级数解 |
The symmetry and Series Solutions for the extended KdV equation |
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| WANG Qing. The symmetry and Series Solutions for the extended KdV equation[J]. Journal of North China Institute of Science and Technology, 2014, 0(10): 103-105 | |
| Authors: | WANG Qing |
| Affiliation: | WANG Qing ( Department of Basic Course, North China Institute of Science and Technology, Yanjiao, 101601, China) |
| Abstract: | In nonlinear science,many problems described by the nonlinear evolution equations. It is particu-larly important to find out the exact solutions. In this paper,the Lie symmetry analysis is performed for the ex-tended KdV equation. By taking the Lie group method,the optimal system and the exact solutions from the symmetry transformations are provided. Such exact explicit solutions are important in both applications and the theory of nonlinear science. |
| Keywords: | Lie symmetry traveling wave solution series solutions |
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