| Applications of F-expansion method to the coupled KdV system |
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| 引用本文： | 李保安,王明亮. Applications of F-expansion method to the coupled KdV system[J]. 中国物理, 2005, 14(9): 1698-1706 |
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| 作者姓名： | 李保安 王明亮 |
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| 作者单位： | College of Science, Henan University of Science and Technology,Luoyang 471003, China;Department of Mathematics, Jilin University, Changchun 130000, China;College of Science, Henan University of Science and Technology,Luoyang 471003, China;Department of Mathematics, Lanzhou University, Lanzhou 730000, China |
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| 基金项目： | Project supported by the Natural Science Foundation of Henan Province of China (Grant No 0111050200) and the Science Foundation of Henan University of Science and Technology (Grant Nos 2004ZY040 and 2004ZD002). |
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| 摘 要： |
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| 关 键 词： | KdV系统 扩展性 周期波 非线性发展方程 Jacobi椭圆函数 |
| 文章编号： | 1009-1963/2005/14（09）/1698-09 |
| 收稿时间： | 2005-03-15 |
| 修稿时间： | 2005-03-152005-04-22 |
Applications of F-expansion method to the coupled KdV system |
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| Li Bao-An and Wang Ming-Liang. Applications of F-expansion method to the coupled KdV system[J]. Chinese Physics, 2005, 14(9): 1698-1706 |
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| Authors: | Li Bao-An and Wang Ming-Liang |
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| Affiliation: | College of Science, Henan University of Science and Technology,Luoyang 471003, China;Department of Mathematics, Jilin University, Changchun 130000, China; College of Science, Henan University of Science and Technology,Luoyang 471003, China;Department of Mathematics, Lanzhou University, Lanzhou 730000, China |
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| Abstract: | An extended F-expansion method for finding periodic wave solutions of nonlinear evolution equations in mathematical physics is presented, which can be thought of as a concentration of extended Jacobi elliptic function expansion method proposed more recently. By using the homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by Jacobi elliptic functions for the coupled KdV equations are derived. In the limit cases, the solitary wave solutions and the other type of travelling wave solutions for the system are also obtained. |
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| Keywords: | coupled KdV equations extended F-expansion method Jacobi elliptic functions periodic wave solutions solitary wave solutions |
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