| A novel （G＇/G）-expansion method and its application to the Boussinesq equation |
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| 作者姓名： | Md.Nur Alam Md.Ali Akbar Syed Tauseef Mohyud-Din |
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| 作者单位： | Department |
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| 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.
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| 关 键 词： | Boussinesq方程 非线性演化方程 应用 行波解 精确解 |
| 收稿时间： | 2013-04-26 |
A novel (G’/G)-expansion method and its application to the Boussinesq equation |
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| Md.Nur Alam,Md.Ali Akbar,Syed Tauseef Mohyud-Din.A novel (G’/G)-expansion method and its application to the Boussinesq equation[J].Chinese Physics B,2014,23(2):20203-020203. |
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| Authors: | Md Nur Alam Md Ali Akbar Syed Tauseef Mohyud-Din |
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| Institution: | 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 |
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| 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. |
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| Keywords: | (G’ /G)-expansion method Boussinesq equation solitary wave solutions auxiliary nonlinear ordinary differential equation |
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