| Generalized and Improved （G＇/G）-Expansion Method Combined with Jacobi Elliptic Equation |
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| 作者姓名： | M. Ali Akbar Norhashidah Hj. Mohd. Ali E.M.E. Zayed |
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| 作者单位： | [1]School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia [2]Department of Applied Mathematics, University of Rajshahi, Bangladesh [3]Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt |
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| 摘 要： | In this article, we propose an alternative approach of the generalized and improved （G＇/G）-expansion method and build some new exact traveling wave solutions of three nonlinear evolution equations, namely the Boiti- Leon-Pempinelle equation, the Pochhammer-Chree equations and the Painleve integrable Burgers equation with free parameters. When the free parameters receive particular values, solitary wave solutions are constructed from the traveling waves. We use the Jacob/elliptic equation as an auxiliary equation in place of the second order linear equation. It is established that the proposed algorithm offers a further influential mathematical tool for constructing exact solutions of nonlinear evolution equations.
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| 关 键 词： | Jacobi椭圆方程 展开法 非线性发展方程 Burgers方程 广义 二阶线性方程 自由参数 孤立波解 |
| 收稿时间： | 2013-11-20 |
Generalized and Improved (G'/G)-Expansion Method Combined with Jacobi Elliptic Equation |
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| M. Ali Akbar,Norhashidah Hj. Mohd. Ali,E.M.E. Zayed.Generalized and Improved (G'/G)-Expansion Method Combined with Jacobi Elliptic Equation[J].Communications in Theoretical Physics,2014,61(6):669-676. |
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| Authors: | MAli Akbar Norhashidah HjMohdAli EMEZayed |
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| Institution: | 1. School of Mathematical Sciences, Universiti Sains Malaysia, Malaysia;
2. Department of Applied Mathematics, University of Rajshahi, Bangladesh;
3. Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt |
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| Abstract: | In this article, we propose an alternative approach of the generalized and improved (G'/G)-expansion method and build some new exact traveling wave solutions of three nonlinear evolution equations, namely the Boiti-Leon-Pempinelle equation, the Pochhammer-Chree equations and the Painleve integrable Burgers equation with free parameters. When the free parameters receive particular values, solitary wave solutions are constructed from the traveling waves. We use the Jacobi elliptic equation as an auxiliary equation in place of the second order linear equation. It is established that the proposed algorithm offers a further influential mathematical tool for constructing exact solutions of nonlinear evolution equations. |
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| Keywords: | Boiti-Leon-Pempinelle equation Painleve integrable burgers equation Pochhammer-Chree equa-tion （GI/G）-expansion method traveling wave solutions |
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