The Improved Riccati Equation Method and Exact Solutions to mZK Equation
We utilize the improved Riccati equation method to construct more general exact solutions to nonlinear equations. And we obtain the travelling wave solutions involving parameters, which are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. When the param...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2012/596762 |
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| _version_ | 1832565200531750912 |
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| author | Xiaofeng Li |
| author_facet | Xiaofeng Li |
| author_sort | Xiaofeng Li |
| collection | DOAJ |
| description | We utilize the improved Riccati equation method to construct more general exact solutions to nonlinear equations. And we obtain the travelling wave solutions involving parameters, which are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. When the parameters are taken as special values, the method provides not only solitary wave solutions but also periodic waves solutions. The method appears to be easier and more convenient by means of a symbolic computation system. Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics. |
| format | Article |
| id | doaj-art-c42bea8052d645ff942d5c8c2af0b4c2 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-c42bea8052d645ff942d5c8c2af0b4c22025-02-03T01:09:01ZengWileyInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/596762596762The Improved Riccati Equation Method and Exact Solutions to mZK EquationXiaofeng Li0College of Physics and Material Science, Anhui University, Hefei, Anhui 230039, ChinaWe utilize the improved Riccati equation method to construct more general exact solutions to nonlinear equations. And we obtain the travelling wave solutions involving parameters, which are expressed by the hyperbolic functions, the trigonometric functions, and the rational functions. When the parameters are taken as special values, the method provides not only solitary wave solutions but also periodic waves solutions. The method appears to be easier and more convenient by means of a symbolic computation system. Of course, it is also effective to solve other nonlinear evolution equations in mathematical physics.http://dx.doi.org/10.1155/2012/596762 |
| spellingShingle | Xiaofeng Li The Improved Riccati Equation Method and Exact Solutions to mZK Equation International Journal of Differential Equations |
| title | The Improved Riccati Equation Method and Exact Solutions to mZK Equation |
| title_full | The Improved Riccati Equation Method and Exact Solutions to mZK Equation |
| title_fullStr | The Improved Riccati Equation Method and Exact Solutions to mZK Equation |
| title_full_unstemmed | The Improved Riccati Equation Method and Exact Solutions to mZK Equation |
| title_short | The Improved Riccati Equation Method and Exact Solutions to mZK Equation |
| title_sort | improved riccati equation method and exact solutions to mzk equation |
| url | http://dx.doi.org/10.1155/2012/596762 |
| work_keys_str_mv | AT xiaofengli theimprovedriccatiequationmethodandexactsolutionstomzkequation AT xiaofengli improvedriccatiequationmethodandexactsolutionstomzkequation |