| Modification of the Clarkson-Kruskal Direct Method for a Coupled System |
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| 作者姓名： | 钱素平 田立新 |
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| 作者单位： | [1]Department of Mathematics, Changshu Institute of Technology, Changshu 215500 [2]Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenfiang 212013 |
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| 基金项目： | Supported by the Jiangsu Provincial Research Foundation for Basic Research under Grant No BK2007098, and the Natural Science Directed Foundation of the Jiangsu Higher Education Institutions under Grant No 06KJD110001. |
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| 摘 要： | A new idea is put forward to modify the Clarkson-Kruskal （CK） direct method. Using the usual CK direct method to a coupled KdV system, two types of usual similarity reductions can be obtained. However, the application of the modified CK direct method leads to three types of new similarity reductions different from the usual ones.
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| 关 键 词： | KdV方程 解题方法 非线性方程 数学物理 |
| 收稿时间： | 2007-2-11 |
| 修稿时间： | 2007-02-11 |
Modification of the Clarkson--Kruskal Direct Method for a Coupled System |
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| QIAN Su-Ping,TIAN Li-Xin.Modification of the Clarkson-Kruskal Direct Method for a Coupled System[J].Chinese Physics Letters,2007,24(10):2720-2723. |
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| Authors: | QIAN Su-Ping TIAN Li-Xin |
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| Institution: | 1.Department of Mathematics, Changshu Institute of Technology, Changshu 215500; 2.Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang 212013 |
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| Abstract: | A new idea is put forward to modify the Clarkson--Kruskal (CK) direct method. Using the usual CK direct method to a coupled KdV system, two types of usual similarity reductions can be obtained. However, the application of the modified CK direct method leads to three types of new similarity reductions different from the usual ones. |
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| Keywords: | 02 30 Jr 02 30 Ik 05 45 Yv 47 32 -y 47 35 +i |
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