New Jacobi Elliptic Function Solutions for the Zakharov Equations
A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations. As a result, some new Jacobi elliptic function solutions of the Zakharov equations are obtained. This m...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/854619 |
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| _version_ | 1850216877939228672 |
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| author | Yun-Mei Zhao |
| author_facet | Yun-Mei Zhao |
| author_sort | Yun-Mei Zhao |
| collection | DOAJ |
| description | A generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations. As a result, some new Jacobi elliptic function solutions of the Zakharov equations are obtained. This method can also be applied to other nonlinear evolution equations in mathematical physics. |
| format | Article |
| id | doaj-art-2f64cbebae0a41e995282dfed22d2ffd |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2f64cbebae0a41e995282dfed22d2ffd2025-08-20T02:08:12ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/854619854619New Jacobi Elliptic Function Solutions for the Zakharov EquationsYun-Mei Zhao0Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, ChinaA generalized (G′/G)-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations. As a result, some new Jacobi elliptic function solutions of the Zakharov equations are obtained. This method can also be applied to other nonlinear evolution equations in mathematical physics.http://dx.doi.org/10.1155/2012/854619 |
| spellingShingle | Yun-Mei Zhao New Jacobi Elliptic Function Solutions for the Zakharov Equations Journal of Applied Mathematics |
| title | New Jacobi Elliptic Function Solutions for the Zakharov Equations |
| title_full | New Jacobi Elliptic Function Solutions for the Zakharov Equations |
| title_fullStr | New Jacobi Elliptic Function Solutions for the Zakharov Equations |
| title_full_unstemmed | New Jacobi Elliptic Function Solutions for the Zakharov Equations |
| title_short | New Jacobi Elliptic Function Solutions for the Zakharov Equations |
| title_sort | new jacobi elliptic function solutions for the zakharov equations |
| url | http://dx.doi.org/10.1155/2012/854619 |
| work_keys_str_mv | AT yunmeizhao newjacobiellipticfunctionsolutionsforthezakharovequations |