Author(s)

Yuexing Bai^1,2, Sudao Bilige^1*, Temuer Chaolu²

¹College of Sciences, Inner Mongolia University of Technology, Hohhot, China.
²College of Arts and Sciences, Shanghai Maritime University, Shanghai, China.

In this paper, we discuss one-dimensional optimal system and the invariant solutions of Coupled Burgers’ equations. By using Wu-differential characteristic set algorithm with the aid of Mathematica software, the classical symmetries of the Coupled Burgers’ equations are calculated, and the one-dimensional optimal system of Lie algebra is constructed. And we obtain the invariant solution of the Coupled Burgers’ equations corresponding to one element in one dimensional optimal system by using the invariant method. The results generalize the exact solutions of the Coupled Burgers’ equations.

Potential Symmetry, One-Dimensional Optimal System, Invariant Solution, Coupled Burgers’ Equations

Bai, Y. , Bilige, S. and Chaolu, T. (2018) Potential Symmetries, One-Dimensional Optimal System and Invariant Solutions of the Coupled Burgers’ Equations. Journal of Applied Mathematics and Physics, 6, 1825-1839. doi: 10.4236/jamp.2018.69156.