| 修正的F展开法和推广的KdV方程新的孤波解和精确解 |
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| 引用本文： | 梁立为,李兴东,李玉霞.修正的F展开法和推广的KdV方程新的孤波解和精确解[J].物理学报,2009,58(4):2159-2163. |
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| 作者姓名： | 梁立为 李兴东 李玉霞 |
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| 作者单位： | 酒泉卫星发射中心，酒泉 732750 |
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| 摘 要： | 对F展开法进行了修正，附加含任意常数的负指数项，解决了精确解的奇点问题.用此方法讨论推广的KdV方程的周期波解.在特别情形下，获得了新的Jacobi椭圆函数精确解、孤波解和三角函数解.
关键词：
齐次平衡原则
F展开法
推广的KdV方程
孤波解
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| 关 键 词： | 齐次平衡原则 F展开法 推广的KdV方程 孤波解 |
| 收稿时间： | 2008-07-23 |
The extended F-expansion method and new exact solutions of the generalized KdV equation |
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| Liang Li-Wei,Li Xing-Dong,Li Yu-Xia.The extended F-expansion method and new exact solutions of the generalized KdV equation[J].Acta Physica Sinica,2009,58(4):2159-2163. |
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| Authors: | Liang Li-Wei Li Xing-Dong Li Yu-Xia |
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| Abstract: | In this paper, the F-expansion method is revised by adding a term with negative index with constant c，then the irregular wave solutions are avoided. By using this method， different new periodic wave solutions expressed by the generalized KdV equation are obtained.In the special cases，these periodic wave solutions degenerate to the corresponding Jacobi elliptic function solutions，solitary wave solutions or trigonometric function solutions. |
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| Keywords: | homogeneous balance principle F-expansion method generalized KdV equation solitary wave solution |
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