Article citationsMore>>

Ma, W.X., Huang, T.W. and Zhang, Y. (2010) A Multiple Exp-Function Method for Nonlinear Differential Equations and Its Application. Physica Scripta, 82, Article ID: 065003.
https://doi.org/10.1088/0031-8949/82/06/065003

has been cited by the following article:

• 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.