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

作者：Alam Md Nur; Akbar Md Ali; Mohyud Din Syed Tauseef^*

来源：Chinese Physics B, 2014, 23(2): 020203.

DOI：10.1088/1674-1056/23/2/020203

• (G '/G)-expansion method
• Boussinesq equation
• solitary wave solutions
• auxiliary nonlinear ordinary differential 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 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.

• 出版日期2014-2