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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Potential Symmetries, Lie Transformation Groups and Exact Solutions of Kdv-Burgers Equation

Discontinuity, Nonlinearity, and Complexity 6(1) (2017) 1--9 | 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 KdV-Burgers 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 KdV-Burgers 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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