| LIE SYMMETRY ANALYSIS AND PAINLEVE ANALYSIS OF THE NEW(2+l)-DIMENSIONAL KdV EQUATION |
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| 作者姓名： | Shen Shoufeng Dept. of Math. Zhejiang Univ. of Tech. Hangzhou China. |
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| 作者单位： | Shen Shoufeng Dept. of Math.，Zhejiang Univ. of Tech.，Hangzhou 310314，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. Painleve analysis for this equation is also presented and the soliton solution is obtained directly from the Backlund transformation.
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LIE SYMMETRY ANALYSIS AND PAINLEVE ANALYSIS OF THE NEW (2+l)-DIMENSIONAL KdV EQUATION |
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| Shen Shoufeng Dept. of Math.,Zhejiang Univ. of Tech.,Hangzhou ,China..LIE SYMMETRY ANALYSIS AND PAINLEVE ANALYSIS OF THE NEW(2+l)-DIMENSIONAL KdV EQUATION[J].Applied Mathematics A Journal of Chinese Universities,2007(2). |
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| Authors: | Shen Shoufeng Dept of Math Zhejiang Univ of Tech Hangzhou China |
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| Institution: | Shen Shoufeng Dept. of Math.,Zhejiang Univ. of Tech.,Hangzhou 310314,China. |
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| Abstract: | 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. Painleve analysis for this equation is also presented and the soliton solution is obtained directly from the Backlund transformation. |
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| Keywords: | Lie symmetry exact solution KdV equation |
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