A novel (G’/G)-expansion method and its application to the Boussinesq equation

doi:10.1088/1674-1056/23/2/020203

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 20203-020203.doi: 10.1088/1674-1056/23/2/020203

A novel (G’/G)-expansion method and its application to the Boussinesq equation

Md. Nur Alam^a, Md. Ali Akbar^b, Syed Tauseef Mohyud-Din^c

a Department of Mathematics, Pabna University of Science and Technology, Bangladesh;
b Department of Applied Mathematics, University of Rajshahi, Bangladesh;
c Department of Mathematics, HITEC University, Taxila Cantt, Pakistan

收稿日期:2013-04-26 修回日期:2013-06-28 出版日期:2013-12-12 发布日期:2013-12-12

A novel (G’/G)-expansion method and its application to the Boussinesq equation

Md. Nur Alam^a, Md. Ali Akbar^b, Syed Tauseef Mohyud-Din^c

a Department of Mathematics, Pabna University of Science and Technology, Bangladesh;
b Department of Applied Mathematics, University of Rajshahi, Bangladesh;
c Department of Mathematics, HITEC University, Taxila Cantt, Pakistan

Received:2013-04-26 Revised:2013-06-28 Online:2013-12-12 Published:2013-12-12
Contact: Syed Tauseef Mohyud-Din E-mail:syedtauseefs@hotmail.com
About author:02.30.Jr; 02.30.Ik; 04.20.Jb; 05.45.Yv

摘要/Abstract

摘要： In this article, a novel (G’/G)-expansion method is proposed to search for the traveling wave solutions of nonlinear evolution equations. We construct abundant traveling wave solutions involving parameters to the Boussinesq equation by means of the suggested method. The performance of the method is reliable and useful, and gives more general exact solutions than the existing methods. The new (G’/G)-expansion method provides not only more general forms of solutions but also cuspon, peakon, soliton, and periodic waves.

关键词: (G’, /G)-expansion method, Boussinesq equation, solitary wave solutions, auxiliary nonlinear ordinary differential equation

Abstract: In this article, a novel (G’/G)-expansion method is proposed to search for the traveling wave solutions of nonlinear evolution equations. We construct abundant traveling wave solutions involving parameters to the Boussinesq equation by means of the suggested method. The performance of the method is reliable and useful, and gives more general exact solutions than the existing methods. The new (G’/G)-expansion method provides not only more general forms of solutions but also cuspon, peakon, soliton, and periodic waves.

Key words: (G’/G)-expansion method, Boussinesq equation, solitary wave solutions, auxiliary nonlinear ordinary differential equation

中图分类号: (Partial differential equations)

02.30.Jr

02.30.Ik (Integrable systems) 04.20.Jb (Exact solutions) 05.45.Yv (Solitons)

Md. Nur Alam, Md. Ali Akbar, Syed Tauseef Mohyud-Din. A novel (G’/G)-expansion method and its application to the Boussinesq equation[J]. 中国物理B, 2014, 23(2): 20203-020203.

Md. Nur Alam, Md. Ali Akbar, Syed Tauseef Mohyud-Din. A novel (G’/G)-expansion method and its application to the Boussinesq equation[J]. Chin. Phys. B, 2014, 23(2): 20203-020203.

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A novel (G’/G)-expansion method and its application to the Boussinesq equation

A novel (G’/G)-expansion method and its application to the Boussinesq equation

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