New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion Methods
The G′/G-expansion method is a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems. In our work, exact traveling wave solutions of a generalized KdV type equation of neglecting the highest order infinitesimal term, which is an important wa...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/148132 |
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| author | Yinghui He |
| author_facet | Yinghui He |
| author_sort | Yinghui He |
| collection | DOAJ |
| description | The G′/G-expansion method is a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems. In our work, exact traveling wave solutions of a generalized KdV type equation of neglecting the highest order infinitesimal term, which is an important water wave model, are discussed by the G′/G-expansion method and its variants. As a result, many new exact solutions involving parameters, expressed by Jacobi elliptic functions, hyperbolic functions, trigonometric function, and the rational functions, are obtained. These methods are more effective and simple than other methods and a number of solutions can be obtained at the same time. The related results are enriched. |
| format | Article |
| id | doaj-art-e489d2dbc7ac48cfa140cc79427e7aad |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e489d2dbc7ac48cfa140cc79427e7aad2025-02-03T05:52:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/148132148132New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion MethodsYinghui He0Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaThe G′/G-expansion method is a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering problems. In our work, exact traveling wave solutions of a generalized KdV type equation of neglecting the highest order infinitesimal term, which is an important water wave model, are discussed by the G′/G-expansion method and its variants. As a result, many new exact solutions involving parameters, expressed by Jacobi elliptic functions, hyperbolic functions, trigonometric function, and the rational functions, are obtained. These methods are more effective and simple than other methods and a number of solutions can be obtained at the same time. The related results are enriched.http://dx.doi.org/10.1155/2014/148132 |
| spellingShingle | Yinghui He New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion Methods Advances in Mathematical Physics |
| title | New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion Methods |
| title_full | New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion Methods |
| title_fullStr | New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion Methods |
| title_full_unstemmed | New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion Methods |
| title_short | New Exact Solutions for a Higher Order Wave Equation of KdV Type Using Multiple G′/G-Expansion Methods |
| title_sort | new exact solutions for a higher order wave equation of kdv type using multiple g g expansion methods |
| url | http://dx.doi.org/10.1155/2014/148132 |
| work_keys_str_mv | AT yinghuihe newexactsolutionsforahigherorderwaveequationofkdvtypeusingmultipleggexpansionmethods |