| 由Burgers方程获取复杂方程的精确解 |
| |
| 引用本文： | 翁建平. 由Burgers方程获取复杂方程的精确解[J]. 云南师范大学学报(自然科学版), 2006, 26(5): 33-36 |
| |
| 作者姓名： | 翁建平 |
| |
| 作者单位： | 丽水学院数理分院,浙江,丽水,323000 |
| |
| 基金项目： | 感谢楼森岳教授的指正. |
| |
| 摘 要： | 我们猜测，复杂非线性偏微分方程的一些精确解可以按映射技术由简单非线性偏微分方程的精确解构建。将复杂非线性偏微分方程分别选择为mKdV方程、推广KdV方程和非线性热传导方程，将简单非线性偏微分方程选择为Burgers方程，以上的这种想法在文章中得到证实。
|
| 关 键 词： | 形变映射法 显式解 非线性方程 Burgers方程 |
| 文章编号： | 1007-9793(2006)05-0033-04 |
| 收稿时间： | 2005-09-09 |
| 修稿时间： | 2005-09-09 |
Accurate solutions given by deforming some complex equations to Burgers equation |
| |
| WENG Jian-ping. Accurate solutions given by deforming some complex equations to Burgers equation[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2006, 26(5): 33-36 |
| |
| Authors: | WENG Jian-ping |
| |
| Affiliation: | Zhejiang Lishui College, Lishui 323000, China |
| |
| Abstract: | We gusee that some accurate travelling wave solutions of the complex nonlinear partial differential equation can be composed by ones of the simple nonlinear partial differential equation in accordance with the deforming technique.This above idea is verified in this paper when the complex nonlinear partial differential equation are selected as the mKdV equation,the generalized KdV equation,the nonlinear heat conduction equation respectively,and the simple nonlinear partial differential equation is selected as the Burgers equations. |
| |
| Keywords: | Deforming Method Solution Nonlinear Equation Burgers equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
