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Bilige, S.D. and Wang, X.M. (2015) A Generalized Simplest Equation Method and Its Application to the Boussinesq-Burgers Equation. PLOS ONE, 10, e0126635.
https://doi.org/10.1371/journal.pone.0126635

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.