| 变系数mKdV方程的对称群分类 |
| |
| 引用本文： | 黄定江,梅建琴,张鸿庆.变系数mKdV方程的对称群分类[J].华东理工大学学报(自然科学版),2009,35(6). |
| |
| 作者姓名： | 黄定江 梅建琴 张鸿庆 |
| |
| 作者单位： | 1. 华东理工大学数学系,上海,200237
2. 大连理工大学应用数学系,辽宁,大连,116024 |
| |
| 基金项目： | 国家重点基础研究发展规划(973计划) |
| |
| 摘 要： | 利用古典无穷小算法,等价性变换技巧和有限维抽象李代数的分类理论给出了变系数mKdV方程的对称群分类.证明了在一维和二维可解李代数情况下不变的方程分别为4个和6个.并进一步证明了不存在容许有三维及更高维李代数下不变的方程.
|
| 关 键 词： | 变系数mKdV方程 群分类 古典无穷小算法 等价群 抽象李代数 |
Symmetry Group Classification of Variable Coefficient mKdV Equation |
| |
| HUANG Ding-jiang,MEI Jian-qin,ZHANG Hong-qing.Symmetry Group Classification of Variable Coefficient mKdV Equation[J].Journal of East China University of Science and Technology,2009,35(6). |
| |
| Authors: | HUANG Ding-jiang MEI Jian-qin ZHANG Hong-qing |
| |
| Abstract: | Symmetry group classifications of variable coefficient mKdV equation is performed by using the classical infinitesimal Lie method, the technique of equivalence transformations and the theory of classification of abstract low-dimensional Lie algebras. It is shown that there are four and six inequivalent mKdV-type nonlinear evolution equations admitting one- and two-dimensional solvable Lie algebras,respectively. Furthermore, we prove that there exist no equation admitting three- and higer-dimensional Lie algebras. |
| |
| Keywords: | variable coefficient mKdV equation group classification classical infinitesimal Lie method equivalence transformations group abstract Lie algebras |
| 本文献已被 万方数据 等数据库收录！ |
