All meromorphic solutions of an auxiliary ordinary differential equation and its applications
In this paper, we first employ the complex method to deritive all meromorphic solutions of an auxiliary ordinary differential equation, and then find all meromorphic exact solutions of the modified ZK equation, modified KdV equation, nonlinear Klein-Gordon equation and modified BBM equation. Our wor...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier BV
2015
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/41327 |
| _version_ | 1848756114284347392 |
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| author | Yuan, W. Xiong, W. Lin, J. Wu, Yong Hong |
| author_facet | Yuan, W. Xiong, W. Lin, J. Wu, Yong Hong |
| author_sort | Yuan, W. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we first employ the complex method to deritive all meromorphic solutions of an auxiliary ordinary differential equation, and then find all meromorphic exact solutions of the modified ZK equation, modified KdV equation, nonlinear Klein-Gordon equation and modified BBM equation. Our work shows that there exist some classes of rational solutions wr,2(z) and simple periodic solutions ws,1(z) which are new and are not degenerated successively to by the elliptic function solutions. |
| first_indexed | 2025-11-14T09:07:03Z |
| format | Journal Article |
| id | curtin-20.500.11937-41327 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:07:03Z |
| publishDate | 2015 |
| publisher | Elsevier BV |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-413272018-07-09T01:14:43Z All meromorphic solutions of an auxiliary ordinary differential equation and its applications Yuan, W. Xiong, W. Lin, J. Wu, Yong Hong elliptic function exact solution differential equation meromorphic function In this paper, we first employ the complex method to deritive all meromorphic solutions of an auxiliary ordinary differential equation, and then find all meromorphic exact solutions of the modified ZK equation, modified KdV equation, nonlinear Klein-Gordon equation and modified BBM equation. Our work shows that there exist some classes of rational solutions wr,2(z) and simple periodic solutions ws,1(z) which are new and are not degenerated successively to by the elliptic function solutions. 2015 Journal Article http://hdl.handle.net/20.500.11937/41327 10.1016/S0252-9602(15)30052-7 Elsevier BV restricted |
| spellingShingle | elliptic function exact solution differential equation meromorphic function Yuan, W. Xiong, W. Lin, J. Wu, Yong Hong All meromorphic solutions of an auxiliary ordinary differential equation and its applications |
| title | All meromorphic solutions of an auxiliary ordinary differential equation and its applications |
| title_full | All meromorphic solutions of an auxiliary ordinary differential equation and its applications |
| title_fullStr | All meromorphic solutions of an auxiliary ordinary differential equation and its applications |
| title_full_unstemmed | All meromorphic solutions of an auxiliary ordinary differential equation and its applications |
| title_short | All meromorphic solutions of an auxiliary ordinary differential equation and its applications |
| title_sort | all meromorphic solutions of an auxiliary ordinary differential equation and its applications |
| topic | elliptic function exact solution differential equation meromorphic function |
| url | http://hdl.handle.net/20.500.11937/41327 |