TITLE:
Application of the Generalized Simplest Equation Method to the Burgers Equation
AUTHORS:
Yuexing Bai, Sudao Bilige, Xiaoqing Gao, Jianqing Lü
KEYWORDS:
The Generalized Simplest Equation Method, Exact Solution, the Burgers Equation
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.5 No.1,
January
25,
2017
ABSTRACT: 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.