Author(s)

Yuexing Bai, Sudao Bilige^*, Xiaoqing Gao, Jianqing Lü

College of Sciences, Inner Mongolia University of Technology, Hohhot, China.

We successfully constructed wide classes of exact solutions for the Burgers equation by using the generalized simplest equation method. This method yielded a Bäcklund transformation between the Burgers equation and a related constraint equation. By dealing with the constraint equation, we obtained the traveling wave solutions and non-traveling wave solutions of the Burgers equation.

The Generalized Simplest Equation Method, Exact Solution, the Burgers Equation

Bai, Y. , Bilige, S. , Gao, X. and Lü, J. (2017) Application of the Generalized Simplest Equation Method to the Burgers Equation. Journal of Applied Mathematics and Physics, 5, 101-109. doi: 10.4236/jamp.2017.51011.