Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method
We employ the (G′/G)-expansion method to seek exact traveling wave solutions of two nonlinear wave equations—Padé-II equation and Drinfel’d-Sokolov-Wilson (DSW) equation. As a result, hyperbolic function solution, trigonometric function solution, and rational solution with general parameters are obt...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/8583418 |
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| author | Yazhou Shi Xiangpeng Li Ben-gong Zhang |
| author_facet | Yazhou Shi Xiangpeng Li Ben-gong Zhang |
| author_sort | Yazhou Shi |
| collection | DOAJ |
| description | We employ the (G′/G)-expansion method to seek exact traveling wave solutions of two nonlinear wave equations—Padé-II equation and Drinfel’d-Sokolov-Wilson (DSW) equation. As a result, hyperbolic function solution, trigonometric function solution, and rational solution with general parameters are obtained. The interesting thing is that the exact solitary wave solutions and new exact traveling wave solutions can be obtained when the special values of the parameters are taken. Comparing with other methods, the method used in this paper is very direct. The (G′/G)-expansion method presents wide applicability for handling nonlinear wave equations. |
| format | Article |
| id | doaj-art-68f2eca17c1741fcbc74036da4f7ebd4 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-68f2eca17c1741fcbc74036da4f7ebd42025-08-20T03:33:32ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/85834188583418Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion MethodYazhou Shi0Xiangpeng Li1Ben-gong Zhang2School of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, ChinaGraduate Department, Wuhan Textile University, Wuhan 430073, ChinaSchool of Mathematics and Computer Science, Wuhan Textile University, Wuhan 430073, ChinaWe employ the (G′/G)-expansion method to seek exact traveling wave solutions of two nonlinear wave equations—Padé-II equation and Drinfel’d-Sokolov-Wilson (DSW) equation. As a result, hyperbolic function solution, trigonometric function solution, and rational solution with general parameters are obtained. The interesting thing is that the exact solitary wave solutions and new exact traveling wave solutions can be obtained when the special values of the parameters are taken. Comparing with other methods, the method used in this paper is very direct. The (G′/G)-expansion method presents wide applicability for handling nonlinear wave equations.http://dx.doi.org/10.1155/2018/8583418 |
| spellingShingle | Yazhou Shi Xiangpeng Li Ben-gong Zhang Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method Advances in Mathematical Physics |
| title | Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method |
| title_full | Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method |
| title_fullStr | Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method |
| title_full_unstemmed | Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method |
| title_short | Traveling Wave Solutions of Two Nonlinear Wave Equations by (G′/G)-Expansion Method |
| title_sort | traveling wave solutions of two nonlinear wave equations by g g expansion method |
| url | http://dx.doi.org/10.1155/2018/8583418 |
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