Solitary wave solutions of the fourth order Boussinesq equation through the exp(-Φ(η))-expansion method

被引：23
|
作者：
Akbar, M. Ali [1 ]
Ali, Norhashidah Hj Mohd [2 ]
机构：
[1] Rajshahi Univ, Dept Appl Math, Rajshahi 6205, Bangladesh
[2] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia
来源：
SPRINGERPLUS | 2014年 / 3卷
关键词：
exp(-Phi(eta))-expansion method; Fourth order Boussinesq equation; Solitary wave solutions; Soliton; Traveling wave solutions; (G'/G)-EXPANSION METHOD; EXPANSION METHOD;
D O I：
10.1186/2193-1801-3-344
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The exp(-Phi(eta))-expansion method is an ascending method for obtaining exact and solitary wave solutions for nonlinear evolution equations. In this article, we implement the exp(-Phi(eta))-expansion method to build solitary wave solutions to the fourth order Boussinesq equation. The procedure is simple, direct and useful with the help of computer algebra. By using this method, we obtain solitary wave solutions in terms of the hyperbolic functions, the trigonometric functions and elementary functions. The results show that the exp(-Phi(eta))-expansion method is straightforward and effective mathematical tool for the treatment of nonlinear evolution equations in mathematical physics and engineering.
引用
收藏
页码：1 / 6
页数：6
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