Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations
The auxiliary equation method proposed by Sirendaoreji is extended to construct new types of elliptic function solutions of nonlinear evolution equations. The effectiveness of the extended method is demonstrated by applications to the RKL model, the generalized derivative NLS equation and the Kundu-...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/541370 |
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| _version_ | 1849305952634798080 |
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| author | Gui-qiong Xu |
| author_facet | Gui-qiong Xu |
| author_sort | Gui-qiong Xu |
| collection | DOAJ |
| description | The auxiliary equation method proposed by Sirendaoreji is extended to construct new types of elliptic function solutions of nonlinear evolution equations. The effectiveness of the extended method is demonstrated by applications to the RKL model, the generalized derivative NLS equation and the Kundu-Eckhaus equation. Not only are the Jacobian elliptic function solutions are derived, but also the solitary wave solutions and trigonometric function solutions are obtained in a unified way. |
| format | Article |
| id | doaj-art-2f229f74b4b046879caad9de20d3054d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2f229f74b4b046879caad9de20d3054d2025-08-20T03:55:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/541370541370Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS EquationsGui-qiong Xu0Department of Information Management, College of Management, Shanghai University, Shanghai 200444, ChinaThe auxiliary equation method proposed by Sirendaoreji is extended to construct new types of elliptic function solutions of nonlinear evolution equations. The effectiveness of the extended method is demonstrated by applications to the RKL model, the generalized derivative NLS equation and the Kundu-Eckhaus equation. Not only are the Jacobian elliptic function solutions are derived, but also the solitary wave solutions and trigonometric function solutions are obtained in a unified way.http://dx.doi.org/10.1155/2014/541370 |
| spellingShingle | Gui-qiong Xu Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations Abstract and Applied Analysis |
| title | Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations |
| title_full | Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations |
| title_fullStr | Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations |
| title_full_unstemmed | Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations |
| title_short | Extended Auxiliary Equation Method and Its Applications to Three Generalized NLS Equations |
| title_sort | extended auxiliary equation method and its applications to three generalized nls equations |
| url | http://dx.doi.org/10.1155/2014/541370 |
| work_keys_str_mv | AT guiqiongxu extendedauxiliaryequationmethodanditsapplicationstothreegeneralizednlsequations |