| 几个典型非线性方程组的显式精确解 |
| |
| 引用本文： | 郭鹏,张磊,万桂新,王小云. 几个典型非线性方程组的显式精确解[J]. 兰州交通大学学报, 2014, 0(6): 171-175 |
| |
| 作者姓名： | 郭鹏 张磊 万桂新 王小云 |
| |
| 作者单位： | 1. 兰州交通大学 数理学院，甘肃 兰州 730070; 兰州交通大学 铁道车辆热工教育部重点实验室，甘肃 兰州 730070
2. 兰州交通大学 数理学院,甘肃 兰州,730070 |
| |
| 基金项目： | 国家自然科学基金，甘肃省自然科学基金，兰州交通大学青年科学基金 |
| |
| 摘 要： | 对试探函数方法进行了扩展,通过引入恰当的试探函数找到了耦合Burgers方程、耦合KdV方程和修正cKdV方程组的几类精确解.实例证明在对非线性方程组的求解中,试探函数方法仍是一种简便易行的方法.
|
| 关 键 词： | 试探函数方法 耦合Burgers方程 耦合KdV方程 修正cKdV方程组 精确解 |
Explicit and Exact Solutions for Some Typical Systems of Nonlinear Equations |
| |
| GUO Peng,ZHANG Lei,WAN Gui-xin,WANG Xiao-yun. Explicit and Exact Solutions for Some Typical Systems of Nonlinear Equations[J]. Journal of Lanzhou Jiaotong University, 2014, 0(6): 171-175 |
| |
| Authors: | GUO Peng ZHANG Lei WAN Gui-xin WANG Xiao-yun |
| |
| Affiliation: | GUO Peng, ZHANG Lei, WAN Gui-xin, WANG Xiao-yun (1. School of Mathematics and Physics,Lanzhou Jiaotong University, Lanzhou 730070,China; 2. Key Laboratory of Railway Vehicle Thermal Engineering of Ministry of Education, Lanzhou Jiaotong University, Lanzhou 730070, China) |
| |
| Abstract: | By introducing suitable trial function,the trial function method is extended to find several types of exact solutions to coupled Burgers equation,coupled KdV equation and modified coupled KdV equation.The results indicate that this approach is simple and efficient for solving systems of nonlinear equations. |
| |
| Keywords: | trial function method coupled Burgers equation coupled KdV equation modified coupled KdV equation exact solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
