Article citationsMore>>

Wang, M.L., Li, X.Z. and Zhang, J.L. (2014) Simplified Homogeneous Balance Method and Its Application to Whitham-Broer-Kaup Equations. Journal of Applied Mathematics and Physics, 2, 823-827. https://doi.org/10.4236/jamp.2014.28091

has been cited by the following article:

• TITLE: Exact Solutions to the Boussinesq-Burgers Equations

  AUTHORS: Xiangzheng Li, Baoan Li, Jinlan Chen, Mingliang Wang

  KEYWORDS: Boussinesq-Burgers Equations, Nonlinear Transformation, Simplified Homogeneous Balance Method, Exact Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.9, September 18, 2017

  ABSTRACT: A nonlinear transformation from the solution of a linear equation to the solution of the Boussinesq-Burgers equations is derived by using the simplified homogeneous balance method. Based on the nonlinear transformation and various given solutions of the linear equation, various exact solutions, including solitary wave solutions, rational solutions, the solutions containing hyperbolic functions and the solutions containing trigonometric functions, of the Boussinesq-Burgers equations are obtained.