| 利用Lie群方法求Burgers-Huxley方程行波类首次积分 |
| |
| 引用本文： | 李玲飞,刘洪伟.利用Lie群方法求Burgers-Huxley方程行波类首次积分[J].应用数学学报,2012,35(1):130-137. |
| |
| 作者姓名： | 李玲飞 刘洪伟 |
| |
| 作者单位： | 1. 东北电力大学理学院,吉林,132012
2. 东北电力大学理学院,吉林132012;吉林大学数学研究所,长春130012 |
| |
| 基金项目： | 国家自然科学基金(10571169,10731010);国家重点基础研究发展计划(2007CB814902);湖北省高等学校优秀中青年科技创新团队项目经费(03BA85)资助项目 |
| |
| 摘 要： | 本文运用Lie群理论,证明了Burgers-Huxley方程的行波解所满足的二阶非线性方程在参数满足一定关系时,在经典意义下接受一个两参数Lie群,此时可用积分法求其首次积分.
|
| 关 键 词： | Burgers-Huxley方程 单参数Lie群 首次积分 |
To Solve the First Integral of the Burgers-Huxley Travelling Wave Solution Equations by the Method of Lie Groups |
| |
| LI LINGFEI
,
LIU HONGWEI.To Solve the First Integral of the Burgers-Huxley Travelling Wave Solution Equations by the Method of Lie Groups[J].Acta Mathematicae Applicatae Sinica,2012,35(1):130-137. |
| |
| Authors: | LI LINGFEI LIU HONGWEI |
| |
| Institution: | (School of Sciences Northeast Dianli University,Jilin,132012) (Institute of Mathematics Jilin University,Changchun,130012) |
| |
| Abstract: | When the parameters satisfy certain relations,that the second order nonlinear autonomous system which the travelling wave solution of the Burgers-Huxley equations satisfied admits two-parameter Lie group in classical sense is proved in the paper by the theory of Lie groups.The first integral of the system is solved by the method of integration. |
| |
| Keywords: | Burgers-Huxley equation one-parameter Lie group first integral |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
