| (2+1)维拟线性抛物方程和不变子空间 |
| |
| 引用本文： | 左苏丽,李吉娜.(2+1)维拟线性抛物方程和不变子空间[J].吉林大学学报(理学版),2011,49(1):16-20. |
| |
| 作者姓名： | 左苏丽 李吉娜 |
| |
| 作者单位： | 西北大学 数学系, 非线性科学研究中心, 西安 710069 |
| |
| 基金项目： | 国家自然科学基金，陕西省教育厅科研基金 |
| |
| 摘 要： | 运用条件Lie-B(a)cklund对称与不变子空间理论相结合的方法研究(2+1)维拟线性抛物方程3种形式的广义泛函分离变量解,即广义泛函多项式形式解、广义泛函三角函数形式解和广义泛函指数形式解,并对方程进行完全分类,得到了精确解中未知函数满足的动力系统.
|
| 关 键 词： | (2+1)维拟线性抛物方程 不变子空间 泛函分离变量 精确解 |
| 收稿时间： | 2009-11-02 |
(2+1)-Dimensional Quasilinear Parabolic Equation and Invariable Subspace |
| |
| ZUO Su-li,LI Ji-na.(2+1)-Dimensional Quasilinear Parabolic Equation and Invariable Subspace[J].Journal of Jilin University: Sci Ed,2011,49(1):16-20. |
| |
| Authors: | ZUO Su-li LI Ji-na |
| |
| Institution: | Department of Mathematics, Center for Nonlinear Studies, Northwest University, Xi’an 710069, China |
| |
| Abstract: | Utilizing conditional Lie-Bcklund symmetry associated with invariable subspace theory, we studied three types of generalized functional separation variable solutions for (2+1) dimensional quasilinear parabolic equation, that is, generalized functional polynomial type solution, generalized functional trigonometric function type solution and generalized functional exponent type solution. As a result, a complete classification of the quasilinear equation was obtained. At the same time, we obtained the dynamic system satisfied by the unknown function among the exact solution. |
| |
| Keywords: | (2+1) dimensional quasilinear parabolic equation invariant subspace functional separation variable exact solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《吉林大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《吉林大学学报(理学版)》下载免费的PDF全文 |
