Lie Symmetries, Conservation Laws and Exact Solutions for Two Rod Equations

被引：14
作者：
Liu, Hanze [1 ,2 ]
Li, Jibin [1 ,3 ]
机构：
[1] Kunming Univ Sci & Technol, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China
[2] Binzhou Univ, Dept Math, Binzhou 256603, Shandong, Peoples R China
[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2010年 / 110卷 / 02期
关键词：
Rod equation; Lie symmetry analysis; Conservation law; Similarity reduction; Exact solution;
D O I：
10.1007/s10440-009-9462-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Lie symmetry analysis are performed for the two rod equations. The infinite number of conservation laws (CLs) for the two equations are derived from the direct method. Furthermore, the all similarity reductions and exact explicit solutions are provided.
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页码：573 / 587
页数：15
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