Painlevé analysis, Lie symmetries, and exact solutions for the time-dependent coefficients Gardner equations

被引：0
|
作者：
Hanze Liu
Jibin Li
Lei Liu
机构：
[1] Binzhou University,Department of Mathematics
[2] Kunming University of Science and Technology,Center for Nonlinear Science Studies
[3] Zhejiang Normal University,Department of Mathematics
[4] Shandong University,School of Mathematics
来源：
Nonlinear Dynamics | 2010年 / 59卷
关键词：
Variable-coefficient Gardner equation; Painlevé analysis; Lie symmetry analysis; Exact solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, the three variable-coefficient Gardner (vc-Gardner) equations are considered. By using the Painlevé analysis and Lie group analysis method, the Painlevé properties and symmetries for the equations are obtained. Then the exact solutions generated from the symmetries and Painlevé analysis are presented.
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页码：497 / 502
页数：5
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