Nonlocal symmetry analysis and conservation laws to an third-order Burgers equation

被引：0
|
作者：
Gangwei Wang
A. H. Kara
K. Fakhar
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
[2] University of the Witwatersrand,School of Mathematics
[3] University of British Columbia,Department of Mathematics
[4] Kwantlen Polytechnic University,Department of Mathematics, Faculty of Science and Horticulture
来源：
Nonlinear Dynamics | 2016年 / 83卷
关键词：
Third-order Burger equation; Nonlocal symmetry analysis; Linearization; The multiplier approach; Conservation laws; 22E70; 70S10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The nonlocal residual symmetry related to truncated Painlevé expansion of third-order Burgers equation is performed. Then, the potential symmetries of the equation are derived; on the basis of nonlocal symmetries, we linearize the nonlinear third-order Burgers equation to a linear third-order PDE. Furthermore, the exact solutions of the potential equation are presented in terms of the symmetries. In particular, conservation laws are constructed of the equations.
引用
收藏
页码：2281 / 2292
页数：11
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