New exact solutions of coupled Boussinesq–Burgers equations by Exp-function method

Abstract

In the present paper, we build the new analytical exact solutions of a nonlinear differential equation, specifically, coupled Boussinesq–Burgers equations by means of Exp-function method. Then, we analyze the results by plotting the three dimensional soliton graphs for each case, which exhibit the simplicity and effectiveness of the proposed method. The primary purpose of this paper is to employ a new approach, which allows us victorious and efficient derivation of the new analytical exact solutions for the coupled Boussinesq–Burgers equations.

Keywords

• Exp-function method
• Solitary wave solutions
• Non-linear evolution equations
• Coupled Boussinesq–Burgers equations