| Doubly Periodic Propagating Wave for （2d-1）-Dimensional Breaking Soliton Equation |
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| 引用本文： | HUANG Wen-Hua,;LIU Yu-Lu,;ZHANG Jie-Fang. Doubly Periodic Propagating Wave for （2d-1）-Dimensional Breaking Soliton Equation[J]. 理论物理通讯, 2008, 49(2): 268-274 |
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| 作者姓名： | HUANG Wen-Hua, LIU Yu-Lu, ZHANG Jie-Fang |
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| 作者单位： | [1]College of Science, Huzhou University, Huzhou 313000, China; [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; [3]Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321000, China |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant No. 10272071, the Natural Science Foundation of Zhejiang Province under Grant No. Y504111, and the Scientific Research Foundation of Huzhou University |
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| 摘 要： | Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the （2＋1）-dimensional breaking soliton system. By introducing Jacobi elliptic functions in the seed solution, two families of doubly periodic propagating wave patterns are derived. We investigate these periodic wave solutions with different modulus m selections, many important and interesting properties are revealed. The interaction of Jabcobi elliptic function waves are graphically considered and found to be nonelastic.
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| 关 键 词： | 数学物理方法 (2d-1)维孤波方程 椭圆函数 周期波 |
| 收稿时间： | 2007-02-02 |
Doubly Periodic Propagating Wave for(2+1)-Dimensional Breaking Soliton Equation |
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| HUANG Wen-Hua LIU Yu-Lu ZHANG Jie-Fang. Doubly Periodic Propagating Wave for(2+1)-Dimensional Breaking Soliton Equation[J]. Communications in Theoretical Physics, 2008, 49(2): 268-274 |
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| Authors: | HUANG Wen-Hua LIU Yu-Lu ZHANG Jie-Fang |
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| Affiliation: | 1. College of Science, Huzhou University, Huzhou 313000, China;2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;3. Institute of Nonlinear Physics, Zhejiang NormalUniversity, Jinhua 321000, China |
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| Abstract: | Using the variable separation approach, we obtain a general exactsolution with arbitrary variable separation functions for the(2+1)-dimensional breaking soliton system. By introducing Jacobielliptic functions in the seed solution, two families of doublyperiodic propagating wave patterns are derived. We investigatethese periodic wave solutions with different modulus m selections, many important and interesting properties arerevealed. The interaction of Jabcobi elliptic function waves aregraphically considered and found to be nonelastic. |
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| Keywords: | breaking soliton equation variable separation method Jabobi elliptic function periodic wave |
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