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| Double Elliptic Equation Expansion Approach and Novel Solutions of （2＋1）-Dimensional Break Soliton Equation | |
| 引用本文： | SUN Wei-Kun,;CAO Nan-Bin,;SHEN Ya-Liang. Double Elliptic Equation Expansion Approach and Novel Solutions of （2＋1）-Dimensional Break Soliton Equation[J]. 理论物理通讯, 2008, 49(2): 281-286 |
| 作者姓名： | SUN Wei-Kun, CAO Nan-Bin, SHEN Ya-Liang |
| 作者单位： | [1]Department of Mathematics and Physics, Tianjin University of Technology and Education, Tianjin 300222, China; [2]School of Science, Shijiazhuang University of Economics, Shijiazhuang 050031, China; [3]Key Laboratory of Mathematics Mechanization, Academy of Mathematics and System Sciences, the Chinese Academy of Sciences, Beijing 100080, China; [4]School of Science, Natong University, Nantong 226019, China |
| 基金项目： | The project supported partially by the 973 Project under Grant No. 2004CB318001.Acknowledgments The authors are very grateful to the referees for their valuable suggestions. This paper would not exist without the inspiration and helpful discussions provided by Dr. Deng-Shan Wang. The authors also thank him for his kind comments. |
| 摘 要： | In this paper, by means of double elliptic equation expansion approach, the novel double nonlinear wave solutions of the （2＋1）-dimensional break soliton equation are obtained. These double nonlinear wave solutions contain the double Jacobi elliptic function-like solutions, the double solitary wave-like solutions, and so on. The method is also powerful to some other nonlinear wave equations in （2＋1） dimensions. |
| 关 键 词： | 数学物理方法 孤波方程 椭圆型方程 符号计算 展开法 |
| 收稿时间： | 2007-03-09 |
Double Elliptic Equation Expansion Approach and Novel Solutions of (2+1)-Dimensional Break Soliton Equation |
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| SUN Wei-Kun CAO Nan-Bin SHEN Ya-Liang. Double Elliptic Equation Expansion Approach and Novel Solutions of (2+1)-Dimensional Break Soliton Equation[J]. Communications in Theoretical Physics, 2008, 49(2): 281-286 | |
| Authors: | SUN Wei-Kun CAO Nan-Bin SHEN Ya-Liang |
| Affiliation: | 1. Department of Mathematics and Physics, Tianjin University of Technology and Education, Tianjin 300222, China;2. School of Science, Shijiazhuang University of Economics,Shijiazhuang 050031, China;3. Key Laboratory of Mathematics Mechanization, Academy of Mathematics and System Sciences, the Chinese Academy of Sciences, Beijing 100080, China;4. School of Science, Natong University, Nantong 226019, China |
| Abstract: | In this paper, by means of double elliptic equationexpansion approach, the novel double nonlinear wave solutions of the(2+1)-dimensional breaking soliton equation are obtained. These doublenonlinear wave solutions contain the double Jacobi ellipticfunction-like solutions, the double solitary wave-like solutions,and so on. The method is also powerful to some other nonlinear waveequations in (2+1) dimensions. |
| Keywords: | break soliton equation symbolic computation double elliptic equations double soliton-like solution nonlinear wave solution |
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