Application of the Generalized Simplest Equation Method to the Burgers Equation ()
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.
Share and Cite:
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.
Cited by
No relevant information.