Lie symmetry analysis and Painlevé analysis of the new (2+1)-dimensional KdV equation

被引：11
作者：
Shen S. [1 ]
机构：
[1] Dept. of Math., Zhejiang Univ. of Tech.
来源：
Applied Mathematics-A Journal of Chinese Universities | 2007年 / 22卷 / 2期
关键词：
Exact solution; KdV equation; Lie symmetry;
D O I：
10.1007/s11766-007-0209-2
中图分类号：
学科分类号：
摘要：
Lie point symmetries associated with the new (2+1)-dimensional KdV equation ut + 3ux uy + 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 Bäcklund transformation. © Editorial Committee of Applied Mathematics 2007.
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页码：207 / 212
页数：5
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