Discontinuity, Nonlinearity, and Complexity
Potential Symmetries, Lie Transformation Groups and Exact Solutions of KdvBurgers Equation
Discontinuity, Nonlinearity, and Complexity 6(1) (2017) 19  DOI:10.5890/DNC.2017.03.001
XiaoMin Wang; Sudao Bilige; YueXing Bai
College of Sciences, Inner Mongolia University of Technology, Hohhot, 010051, China
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Abstract
In this paper, the classical symmetries and the potential symmetries of KdVBurgers equation are calculated based on differential characteristic set algorithm, and the corresponding Lie transformation groups and invariant solutions of the potential symmetry are derived. Moreover a series of new exact solutions for KdVBurgers equation are obtained by acting Lie transformation groups on the invariant solutions. It is important that these solutions can not be obtained from the classical symmetries of KdVBurgers equation.
Acknowledgments
This work is supported by the National Natural Science Foundation of China (11661060, 11571008), Natural Science Foundation of Inner Mongolia Autonomous Region of China (2014MS0114, 2014BS0105), High Education Science Research Program of Inner Mongolia (NJZZ14053).
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