Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method
This paper is concerned with a double nonlinear dispersive equation: the Sharma-Tasso-Olver equation. We propose an improved G′/G-expansion method which is employed to investigate the solitary and periodic traveling waves of this equation. As a result, some new traveling wave solutions involving hyp...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/247234 |
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| _version_ | 1832552572465971200 |
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| author | Yinghui He Shaolin Li Yao Long |
| author_facet | Yinghui He Shaolin Li Yao Long |
| author_sort | Yinghui He |
| collection | DOAJ |
| description | This paper is concerned with a double nonlinear dispersive equation: the Sharma-Tasso-Olver equation. We propose an improved G′/G-expansion method which is employed to investigate the solitary and periodic traveling waves of this equation. As a result, some new traveling wave solutions involving hyperbolic functions, the trigonometric functions, are obtained. When the parameters are taken as special values, the solitary wave solutions are derived from the hyperbolic function solutions, and the periodic wave solutions are derived from the trigonometric function solutions. The improved G′/G-expansion method is straightforward, concise and effective and can be applied to other nonlinear evolution equations in
mathematical physics. |
| format | Article |
| id | doaj-art-78f11762fc3945d8b5e1e328d4a704e0 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-78f11762fc3945d8b5e1e328d4a704e02025-02-03T05:58:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/247234247234Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion MethodYinghui He0Shaolin Li1Yao Long2Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaDepartment of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaDepartment of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaThis paper is concerned with a double nonlinear dispersive equation: the Sharma-Tasso-Olver equation. We propose an improved G′/G-expansion method which is employed to investigate the solitary and periodic traveling waves of this equation. As a result, some new traveling wave solutions involving hyperbolic functions, the trigonometric functions, are obtained. When the parameters are taken as special values, the solitary wave solutions are derived from the hyperbolic function solutions, and the periodic wave solutions are derived from the trigonometric function solutions. The improved G′/G-expansion method is straightforward, concise and effective and can be applied to other nonlinear evolution equations in mathematical physics.http://dx.doi.org/10.1155/2013/247234 |
| spellingShingle | Yinghui He Shaolin Li Yao Long Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method Journal of Applied Mathematics |
| title | Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method |
| title_full | Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method |
| title_fullStr | Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method |
| title_full_unstemmed | Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method |
| title_short | Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method |
| title_sort | exact solutions to the sharma tasso olver equation by using improved g g expansion method |
| url | http://dx.doi.org/10.1155/2013/247234 |
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