Some new traveling wave solutions of the modified Benjamin-Bona-Mahony equation via the improved  (G/G)-expansion method

Hasibun Naher; Farah Aini Abdullah; Ahmet Bekir

Makale detayları

Some new traveling wave solutions of the modified Benjamin-Bona-Mahony equation via the improved (G/G)-expansion method

Yazarlar:

Hasibun Naher | Farah Aini Abdullah | Ahmet Bekir

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2015 Vol.3 Issue 3, pp.78-89

Belge Tipi:

Makale

Yayın Tarihi:

6/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000830079

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520

Özet:

 

The improved (G’/G)-expansion method is a powerful mathematical tool for solving nonlinear evolution equations whicharise in mathematical physics, engineering sciences and other technical arena. In this article, we construct some new exact travelingwave solutions for the modified Benjamin-Bona-Mahony equation by applying the improved (G’/G)-expansion method. In themethod, the general solution of the second order linear ordinary differential equation with constant coefficients is used for studyingnonlinear partial differential equations. The solution procedure of this method is executed by algebraic software, such as, Maple. Theobtained solutions including solitary and periodic wave solutions are presented in terms of the hyperbolic function, the trigonometricfunction and the rational forms. It is noteworthy to reveal that some of our solutions are in good agreement with the published resultsfor special cases which certifies our other solutions. Furthermore, the graphical presentations of some solutions are illustrated in thefigures.

Makale detayları

Some new traveling wave solutions of the modified Benjamin-Bona-Mahony equation via the improved (G/G)-expansion method

Yazarlar: Hasibun Naher | Farah Aini Abdullah | Ahmet Bekir

Yayıncı: Biska Bilişim

Dergi: New Trends in Mathematical Sciences 2015 Vol.3 Issue 3, pp.78-89

Belge Tipi: Makale

Yayın Tarihi: 6/2015

Belge Dili: İngilizce

Document ID (Org No.): 2000830079

Sıklık: Üç Aylık

eISSN: 2147-5520

pISSN: 2147-5520

Sayı

Yazarlar:

Hasibun Naher | Farah Aini Abdullah | Ahmet Bekir

Yayıncı:

Biska Bilişim

Dergi:

New Trends in Mathematical Sciences 2015 Vol.3 Issue 3, pp.78-89

Belge Tipi:

Makale

Yayın Tarihi:

6/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000830079

Sıklık:

Üç Aylık

eISSN:

2147-5520

pISSN:

2147-5520