| mBBM方程和Vakhneoko方程的显式精确解 |
| |
| 引用本文： | 郭鹏,张磊,王小云,孙小伟.mBBM方程和Vakhneoko方程的显式精确解[J].量子电子学报,2010,27(6):683-687. |
| |
| 作者姓名： | 郭鹏 张磊 王小云 孙小伟 |
| |
| 作者单位： | 兰州交通大学数理与软件工程学院， 甘肃 兰州 730070 |
| |
| 基金项目： | 甘肃省自然科学基金（0916RJZA047）、兰州交通大学“青蓝”人才工程（QL-06-22A）资助项目 |
| |
| 摘 要： | 应用试探函数方法求解了mBBM方程和Vakhneoko方程．通过引入试探函数，把难于求解的非线性偏微分方程化为易于求解的代数方程，然后用待定系数法确定相应的常数，从而简洁地求得了方程的精确解。
|
| 关 键 词： | 非线性方程 试探函数方法 mBBM方程 Vakhneoko方程 精确解 |
| 收稿时间： | 2010-02-05 |
| 修稿时间： | 2010-04-05 |
Explicit and exact solutions to the mBBM and Vakhneoko equations |
| |
| GUO Peng,Zhang-Lei,WANG Xiao-Yun,SUN Xiao-Wei.Explicit and exact solutions to the mBBM and Vakhneoko equations[J].Chinese Journal of Quantum Electronics,2010,27(6):683-687. |
| |
| Authors: | GUO Peng Zhang-Lei WANG Xiao-Yun SUN Xiao-Wei |
| |
| Affiliation: | School of Mathematics, Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China |
| |
| Abstract: | The mBBM and Vakhneoko equations are solved by the trial function method. By introducing appropriate trial functions, the nonlinear partial differential equation that is hard to be solved by the usual ways can be reduced to a set of algebraic equation, which can be easily solved, and its related coefficients can be easily determined by the method of undetermined coefficient. Finally, the analytical solution to the equations are successfully derived. |
| |
| Keywords: | nonlinear equation trial function method mBBM equation Vakhneoko equation exact solution |
|
| 点击此处可从《量子电子学报》浏览原始摘要信息 |
|
点击此处可从《量子电子学报》下载全文 |
