| (2+1)维Burgers方程新的复合解 |
| |
| 引用本文： | 李文婷,陈续升,张鸿庆.(2+1)维Burgers方程新的复合解[J].东北数学,2007,23(5):453-463. |
| |
| 作者姓名： | 李文婷 陈续升 张鸿庆 |
| |
| 作者单位： | [1]Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024 [2]School of Mathematics, Jilin University, Changchun, 130012 |
| |
| 基金项目： | 国家重点基础研究发展计划(973计划) |
| |
| 摘 要： | In this paper, a new generalized compound Riccati equations rational expansion method （GCRERE） is proposed. Compared with most existing rational expansion methods and other sophisticated methods, the proposed method is not only recover some known solutions, but also find some new and general complexiton solutions. Being concise and straightforward, it is applied to the （2＋1）-dimensional Burgers equation. As a result, eight families of new exact analytical solutions for this equation are found. The method can also be applied to other nonlinear partial differential equations.
|
| 关 键 词： | （2＋1）维Burgers方程 复合解 非线性 微分方程式 |
| 文章编号： | 1000-1778（2007）05-0453-11 |
| 收稿时间： | 2007-05-28 |
| 修稿时间： | 2007年5月28日 |
New Complexiton Solutions for the (2+1)-dimensional Burgers Equation |
| |
| LI Wen-ting,CHEN Xu-sheng,ZHANG Hong-qing.New Complexiton Solutions for the (2+1)-dimensional Burgers Equation[J].Northeastern Mathematical Journal,2007,23(5):453-463. |
| |
| Authors: | LI Wen-ting CHEN Xu-sheng ZHANG Hong-qing |
| |
| Institution: | 1. Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024; 2. School of Mathematics, Jilin University, Changchun, 130012 |
| |
| Abstract: | In this paper, a new generalized compound Riccati equations rational expansion method (GCRERE) is proposed. Compared with most existing rational expansion methods and other sophisticated methods, the proposed method is not only recover some known solutions, but also find some new and general complexiton solutions. Being concise and straightforward, it is applied to the (2 1)-dimensional Burgers equation. As a result, eight families of new exact analytical solutions for this equation are found. The method can also be applied to other nonlinear partial differential equations. |
| |
| Keywords: | generalized compound Riccati equations rational expansion method (2 1)-dimensional Burgers equation complexiton solution |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
