| 用影射法求解KdV方程 |
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| 引用本文： | 岳萍,龚伦训.用影射法求解KdV方程[J].大学物理,2010,29(2). |
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| 作者姓名： | 岳萍 龚伦训 |
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| 作者单位： | 1. 贵阳医学院,物理教研室,贵州,贵阳,550004
2. 贵州师范大学,物理与电子科学学院,贵州,贵阳,550001 |
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| 基金项目： | 贵州省科学技术基金资助项目(20072009) |
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| 摘 要： | 应用影射法求解KdV方程,得到了KdV方程的物理上有意义的两种类型的行波解,即孤立波解和Jacobi椭圆函数解,并绘图加以说明.
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| 关 键 词： | KdV方程 影射法 孤立波解 Jacobi椭圆函数解 |
Solving the KdV equation by the mapping method |
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| YUE Ping,GONG Lun-xun.Solving the KdV equation by the mapping method[J].College Physics,2010,29(2). |
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| Authors: | YUE Ping GONG Lun-xun |
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| Institution: | 1.Institute of Physics;Guiyang Medical College;Guiyang;Guizhou 550004;China;2.School of Physics and Electronic Science;Guizhou Normal University;Guizhou 550001;China |
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| Abstract: | Using the mapping method,we obtain the physically meaningful solutions of the KdV equation in the forms of the solitary wave and the Jacobi elliptic functions.The figures of these solutions are displayed. |
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| Keywords: | KdV equation mapping method solitary wave solution Jacobi elliptic function solution |
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