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

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 metho...

Full description

Saved in:
Bibliographic Details
Published in:Chinese physics B 2014-02, Vol.23 (2), p.20203-1-020203-10
Main Authors: Alam, Md. Nur, Akbar, Md. Ali, Mohyud-Din, Syed Tauseef
Format: Article
Language:English
Subjects:
Boussinesq equations
Construction
Exact solutions
Mathematical analysis
Nonlinear evolution equations
Searching
Solitons
Traveling waves
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1674-1056
1741-4199
DOI:10.1088/1674-1056/23/2/020203