Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations☆
Lie symmetry analysis, optimal systems and exact solutions to the fifth-order KdV types of equations☆
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DOI：
10.1016/j.jmaa.2010.03.026
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发表时间：
2010-08
影响因子：
1.3
通讯作者：
Hanze Liu;Jibin Li;Lei Liu
中科院分区：
文献类型：
--
作者：
Hanze Liu;Jibin Li;Lei Liu
本文对模拟许多物理现象时出现的五阶KdV型方程进行了Lie对称性分析。基于最优系统方法，得到了相似约简和精确解。然后用幂级数方法求出了精确的解析解。
In this paper, the Lie symmetry analysis is performed on the fifth-order KdV types of equations which arise in modeling many physical phenomena. The similarity reductions and exact solutions are obtained based on the optimal system method. Then the exact analytic solutions are considered by using the power series method.