| 变系数非线性发展方程的G'/G展开解 |
| |
| 引用本文： | 庞晶,靳玲花,赵强.变系数非线性发展方程的G'/G展开解[J].物理学报,2012,61(14):140201-140201. |
| |
| 作者姓名： | 庞晶 靳玲花 赵强 |
| |
| 作者单位： | 内蒙古工业大学理学院, 呼和浩特 010051 |
| |
| 基金项目： | 国家教育部博士点基金 (批准号: 20070128001)、内蒙古自然科学基金 (批准号: 2010MS0115)和内蒙古工业大学自然科学基金 (批准号: ZS201035) 资助的课题. |
| |
| 摘 要： | 用近年来提出的(G'/G)展开法首次尝试了对变系数非线性发展方程的求解, 并以两类变系数非线性KdV方程为例,且成功得到了新的精确解. 实践证明: (G'/G)展开法不仅适用于常系数非线性发展方程, 而且还很好地适用于变系数非线性方程,具有广泛的应用前景.
|
| 关 键 词： | (G'/G)展开法 变系数非线性KdV方程 精确解 |
| 收稿时间： | 2011-10-17 |
Nonlinear evolution equation with variable coefficient G'/G expansion solution |
| |
| Pang Jing,Jin Ling-Hua,Zhao Qiang.Nonlinear evolution equation with variable coefficient G'/G expansion solution[J].Acta Physica Sinica,2012,61(14):140201-140201. |
| |
| Authors: | Pang Jing Jin Ling-Hua Zhao Qiang |
| |
| Institution: | College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China |
| |
| Abstract: | In this paper, the (G'/G)-expansion method is used to solve the two kinds of nonlinear KdV equations with variable coefficients for the first time. And some new exact solutions are obtained successfully. It is proved that the (G'/G)-expansion method is not only appropriate for solving nonlinear evolution equations with constant coefficients but also excellently applicable to the nonlinear evolution equations with variable coefficients, and it also has a broad application prospect. |
| |
| Keywords: | the (G'/G)-expansion method nonlinear KdV equation with variable coefficients exact solutions |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《物理学报》浏览原始摘要信息 |
| 点击此处可从《物理学报》下载免费的PDF全文 |
