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

被引:0
作者
Md.Nur Alam [1 ]
Md.Ali Akbar [2 ]
Syed Tauseef Mohyud-Din [3 ]
机构
[1] Department of Mathematics,Pabna University of Science and Technology
[2] Department of Applied Mathematics,University of Rajshahi
[3] Department of Mathematics,HITEC University,Taxila Cantt
关键词
(G’/G)-expansion method; Boussinesq equation; solitary wave solutions; auxiliary nonlinear or-dinary differential equation;
D O I
暂无
中图分类号
O411.1 [数学物理方法]; O175.29 [非线性偏微分方程];
学科分类号
0701 ; 070104 ;
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.
引用
收藏
页码:38 / 47
页数:10
相关论文
共 2 条
  • [1] BAI C L.Backlund Transformation and Multiple Soliton Solutions for the(3+1)-Dimensional Nizhnik-Novikov-VeselovEquation[K].Chinese Phys,2004
  • [2] Matveev V B, Salle M A.Darboux Transformations and Solitons[K].Springer,1991