The general traveling wave solutions of the Fisher type equations and some related problems
In this article, we introduce two recent results with respect to the integrality and exact solutions of the Fisher type equations and their applications. We obtain the sufficient and necessary conditions of integrable and general meromorphic solutions of these equations by the complex method. Our re...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Springer International Publishing
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/36970 |
| _version_ | 1848754918644514816 |
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| author | Yuan, W. Xiao, B. Wu, Yong Hong Qi, J. |
| author_facet | Yuan, W. Xiao, B. Wu, Yong Hong Qi, J. |
| author_sort | Yuan, W. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this article, we introduce two recent results with respect to the integrality and exact solutions of the Fisher type equations and their applications. We obtain the sufficient and necessary conditions of integrable and general meromorphic solutions of these equations by the complex method. Our results are of the corresponding improvements obtained by many authors. All traveling wave exact solutions of many nonlinear partial differential equations are obtained by making use of our results. Our results show that the complex method provides a powerful mathematical tool for solving a great number of nonlinear partial differential equations in mathematical physics. We will propose four analogue problems and expect that the answer is positive, at last. |
| first_indexed | 2025-11-14T08:48:03Z |
| format | Journal Article |
| id | curtin-20.500.11937-36970 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:48:03Z |
| publishDate | 2014 |
| publisher | Springer International Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-369702017-09-13T15:18:39Z The general traveling wave solutions of the Fisher type equations and some related problems Yuan, W. Xiao, B. Wu, Yong Hong Qi, J. In this article, we introduce two recent results with respect to the integrality and exact solutions of the Fisher type equations and their applications. We obtain the sufficient and necessary conditions of integrable and general meromorphic solutions of these equations by the complex method. Our results are of the corresponding improvements obtained by many authors. All traveling wave exact solutions of many nonlinear partial differential equations are obtained by making use of our results. Our results show that the complex method provides a powerful mathematical tool for solving a great number of nonlinear partial differential equations in mathematical physics. We will propose four analogue problems and expect that the answer is positive, at last. 2014 Journal Article http://hdl.handle.net/20.500.11937/36970 10.1186/1029-242X-2014-500 Springer International Publishing fulltext |
| spellingShingle | Yuan, W. Xiao, B. Wu, Yong Hong Qi, J. The general traveling wave solutions of the Fisher type equations and some related problems |
| title | The general traveling wave solutions of the Fisher type equations and some related problems |
| title_full | The general traveling wave solutions of the Fisher type equations and some related problems |
| title_fullStr | The general traveling wave solutions of the Fisher type equations and some related problems |
| title_full_unstemmed | The general traveling wave solutions of the Fisher type equations and some related problems |
| title_short | The general traveling wave solutions of the Fisher type equations and some related problems |
| title_sort | general traveling wave solutions of the fisher type equations and some related problems |
| url | http://hdl.handle.net/20.500.11937/36970 |