| 立方KG问题的对称和显式解(英文) |
| |
| 引用本文： | 王振立,刘庆松.立方KG问题的对称和显式解(英文)[J].聊城大学学报(自然科学版),2014(1):17-24. |
| |
| 作者姓名： | 王振立 刘庆松 |
| |
| 作者单位： | [1]聊城大学数学科学学院,山东聊城252059 [2]聊城大学学报编辑部,山东聊城252059 |
| |
| 基金项目： | 国家自然科学基金和中国工程物理研究院联合基金（11076015）资助课题 |
| |
| 摘 要： | 在本文采用经典李群方法获得准确的立方Klein-Gordon方程的行波解,采用雅可比椭圆函数得到了一些新的解,我们也得到了立方Klein-Gordon方程的守恒律.
|
| 关 键 词： | 李群方法 cKG方程 对称约化 雅可比椭圆函数展开法 守恒律 |
Symmetry and Explicit Solutions of the Cubic Klein-Gordon Equation |
| |
| WANG Zhen-li,LIU Qing-song.Symmetry and Explicit Solutions of the Cubic Klein-Gordon Equation[J].Journal of Liaocheng University:Natural Science Edition,2014(1):17-24. |
| |
| Authors: | WANG Zhen-li LIU Qing-song |
| |
| Institution: | 1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China; 2. Editorial Department of Journal of Liaocheng University, Liaocheng 252059, China) |
| |
| Abstract: | In this paper, the classical Lie group method is employed to obtain exact traveling wave solutions of the cubic Klein-Gordon equation （cKG）. Some new solutions of the solutions be derived by applying Jacobi Elliptic function equation. We also give the conservation laws of the cKG equation. |
| |
| Keywords: | lie group method cKG equation symmetry reduction jacobi elliptic function expansion method conservation laws |
| 本文献已被 CNKI 维普 等数据库收录！ |
