| 立方KG问题的对称和显式解(英文) |
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| 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, 0(1): 17-24 |
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| 作者姓名： | 王振立 刘庆松 |
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| 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 |
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| 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 |
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| 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.
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| 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 |
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| WANG Zhen-li,LIU Qing-song. Symmetry and Explicit Solutions of the Cubic Klein-Gordon Equation[J]. JOURNAL OF LIAOCHENG UNIVERSITY (NATURAL SCIENCE, 2014, 0(1): 17-24 |
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| Authors: | WANG Zhen-li LIU Qing-song |
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| Affiliation: | 1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China; 2. Editorial Department of Journal of Liaocheng University, Liaocheng 252059, China) |
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| 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. |
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| Keywords: | lie group method cKG equation symmetry reduction jacobi elliptic function expansion method conservation laws. |
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