| LIE SYMMETRY ANALYSIS AND PAINLEVE ANALYSIS OF THE NEW （2＋1）-DIMENSIONAL KdV EQUATION |
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| 作者姓名： | Shen Shoufeng |
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| 作者单位： | Dept. of Math., Zhejiang Univ. of Tech., Hangzhou 310014, China |
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| 摘 要： | Lie point symmetries associated with the new （2＋1）-dimensional KdV equation ut ＋ 3uxuy ＋ uxxy = 0 are investigated. Some similarity reductions are derived by solving the corresponding characteristic equations. Painlevé analysis for this equation is also presented and the soliton solution is obtained directly from the Bǎcklund transformation.
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| 关 键 词： | 二维KdV方程 LIE对称分析 PAINLEVE分析 精确解 |
| 收稿时间： | 2006-07-26 |
| 修稿时间： | 2006-07-26 |
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