Journal of Ocean Engineering and Science

Volume 2, Issue 1

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

L.K. Ravi, S. Saha Ray ^∗, S. Sahoo
National Institute of Technology, Department of Mathematics, Rourkela 769008, India

Received 3 August 2016; received in revised form 8 September 2016; accepted 18 September 2016
Available online 22 September 2016

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.
© 2016 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license. ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )

Keywords: Exp-function method; Solitary wave solutions; Non-linear evolution equations; Coupled Boussinesq–Burgers equations.