The new types of wave solutions of the Burger’s equation and the Benjamin-Bona-Mahony equation

作     者：Md.Azmol Huda M.Ali Akbar Shewli Shamim Shanta 

作者机构：Mathematics DisciplineKhulna UniversityBangladesh Department of Applied MathematicsUniversity of RajshahiBangladesh Department of MathematicsUniversity of RajshahiBangladesh 

出 版 物：《Journal of Ocean Engineering and Science》 (海洋工程与科学（英文）)

年 卷 期：2018年第3卷第1期

页      面：1-10页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Khulna University  KU 

主　　题：Travelling wave solution Soliton Burger’s equation Benjamin-Bona-Mahony equation. 

摘      要：In this article,we suggest the two variable(G/G,1/G)-expansion method for extracting further general closed form wave solutions of two important nonlinear evolution equations(NLEEs)that model one-dimensional internal waves in deep water and the long surface gravity waves of small amplitude propagating *** method can be regarded as an extension of the(G/G)-expansion *** ansatz of this extension method to obtain the solution is based on homogeneous balance between the highest order dispersion terms and nonlinearity which is similar to the(G/G)method whereas the auxiliary linear ordinary differential equation(LODE)and polynomial solution *** applied this method to find explicit form solutions to the Burger’s and Benjamin-Bona-Mahony(BBM)equations to examine the effectiveness of the method and tested through mathematical computational software *** new exact travelling wave solutions in more general form of these two nonlinear equations are derived by this extended *** method introduced here appears to be easier and faster comparatively by means of symbolic computation system.