All meromorphic solutions of an ordinary differential equation and its applications
In this paper, we employ the complex method to obtain all meromorphic solutions of an auxiliary ordinary differential equation at first and then find out all meromorphic exact solutions of the combined KdV-mKdV equation and variant Boussinesq equations. Our result shows that all rational and simply...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
John Wiley & Sons Ltd.
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/17121 |
| _version_ | 1848749373692837888 |
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| author | Yuan, W. Meng, F. Lin, J. Wu, Yong Hong |
| author_facet | Yuan, W. Meng, F. Lin, J. Wu, Yong Hong |
| author_sort | Yuan, W. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we employ the complex method to obtain all meromorphic solutions of an auxiliary ordinary differential equation at first and then find out all meromorphic exact solutions of the combined KdV-mKdV equation and variant Boussinesq equations. Our result shows that all rational and simply periodic exact solutions of the combined KdV-mKdV equation and variant Boussinesq equations are solitary wave solutions, the method is more simple than other methods, and there exist some rational solutions wr,2(z) and simply periodic solutions ws,2(z) that are not only new but also not degenerated successively by the elliptic function solutions. |
| first_indexed | 2025-11-14T07:19:55Z |
| format | Journal Article |
| id | curtin-20.500.11937-17121 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:19:55Z |
| publishDate | 2016 |
| publisher | John Wiley & Sons Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-171212017-09-13T13:36:44Z All meromorphic solutions of an ordinary differential equation and its applications Yuan, W. Meng, F. Lin, J. Wu, Yong Hong In this paper, we employ the complex method to obtain all meromorphic solutions of an auxiliary ordinary differential equation at first and then find out all meromorphic exact solutions of the combined KdV-mKdV equation and variant Boussinesq equations. Our result shows that all rational and simply periodic exact solutions of the combined KdV-mKdV equation and variant Boussinesq equations are solitary wave solutions, the method is more simple than other methods, and there exist some rational solutions wr,2(z) and simply periodic solutions ws,2(z) that are not only new but also not degenerated successively by the elliptic function solutions. 2016 Journal Article http://hdl.handle.net/20.500.11937/17121 10.1002/mma.3625 John Wiley & Sons Ltd. restricted |
| spellingShingle | Yuan, W. Meng, F. Lin, J. Wu, Yong Hong All meromorphic solutions of an ordinary differential equation and its applications |
| title | All meromorphic solutions of an ordinary differential equation and its applications |
| title_full | All meromorphic solutions of an ordinary differential equation and its applications |
| title_fullStr | All meromorphic solutions of an ordinary differential equation and its applications |
| title_full_unstemmed | All meromorphic solutions of an ordinary differential equation and its applications |
| title_short | All meromorphic solutions of an ordinary differential equation and its applications |
| title_sort | all meromorphic solutions of an ordinary differential equation and its applications |
| url | http://hdl.handle.net/20.500.11937/17121 |