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.