| KdV方程的Darboux变换 |
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| 引用本文： | 肖奕,刘小娟.KdV方程的Darboux变换[J].湖南师范大学教育科学学报,1999(5). |
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| 作者姓名： | 肖奕 刘小娟 |
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| 作者单位： | 华中理工大学物理系!武汉，430074，湖南湘潭师范学院物理系!湘潭，411201 |
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| 摘 要： | 分析了标准Ｄａｒｂｏｕｘ 变换方法用于ＫｄＶ方程时遇到的困难，然后利用同一个ＫｄＶ方程的两个不同的Ｌａｘ 表示，导出了ＫｄＶ方程Ｄａｒｂｏｕｘ 变换．利用该变换就可以递推导出所有孤子解．
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| 关 键 词： | KdV方程 Darboux变换 孤子解 |
DARBOUX TRANSFORMATION OF THE KdV EQUATION |
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| Xiao Yi,Liu Xiaojuan.DARBOUX TRANSFORMATION OF THE KdV EQUATION[J].Journal of Educational Science of Hunan Normal University,1999(5). |
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| Authors: | Xiao Yi Liu Xiaojuan |
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| Institution: | Xiao Yi 1 Liu Xiaojuan 2 |
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| Abstract: | The difficulty in applying the standard Darboux transformation to K d V equation is analysed.The alternative form of the Darboux transformation of the K d V equation is derived by using its two different Lax equations.All the soliton solutions can be found recurrently. |
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| Keywords: | K d V equation Darboux transformation soliton solution |
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