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Generalized Symmetries and mCK Method Analysis of the (21)-Dimensional Coupled Burgers Equations+

by Gangwei Wang 1,*,†, Yixing Liu 1,†, Shuxin Han 1, Hua Wang 2 and Xing Su 1
1
School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China
2
Department of Mathematics, Shijiazhuang Tiedao University SiFang College, Shijiazhuang 051132, China
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Symmetry 2019, 11(12), 1473; https://doi.org/10.3390/sym11121473
Received: 22 October 2019 / Revised: 28 November 2019 / Accepted: 29 November 2019 / Published: 3 December 2019
(This article belongs to the Special Issue Nonlinear Systems of Equations and Symmetry)
In this paper, generalized symmetries and mCK method are employed to analyze the (2+1)-dimensional coupled Burgers equations. Firstly, based on the generalized symmetries method, the corresponding symmetries of the (2+1)-dimensional coupled Burgers equations are derived. And then, using the mCK method, symmetry transformation group theorem is presented. From symmetry transformation group theorem, a great many of new solutions can be derived. Lastly, Lie algebra for given symmetry group are considered.
Keywords: (2+1)-dimensional coupled Burgers equations; generalized symmetries; mCK method; new exact solutions (2+1)-dimensional coupled Burgers equations; generalized symmetries; mCK method; new exact solutions
MDPI and ACS Style

Wang, G.; Liu, Y.; Han, S.; Wang, H.; Su, X. Generalized Symmetries and mCK Method Analysis of the (21)-Dimensional Coupled Burgers Equations+. Symmetry 2019, 11, 1473.

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