Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations
We employ the complex method to obtain all meromorphic exact solutions of complex Drinfeld-Sokolov equations (DS system of equations). The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all constant and simply periodic traveling wave exac...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/523732 |
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| author | Fu Zhang Jian-ming Qi Wen-jun Yuan |
| author_facet | Fu Zhang Jian-ming Qi Wen-jun Yuan |
| author_sort | Fu Zhang |
| collection | DOAJ |
| description | We employ the complex method to obtain all
meromorphic exact solutions of complex Drinfeld-Sokolov equations (DS system of
equations). The idea introduced in this paper can be applied to other nonlinear evolution equations.
Our results show that all constant and simply periodic traveling wave exact solutions of the equations (DS) are solitary wave solutions, the complex method is simpler than other methods and there exist simply periodic solutions vs,3(z) which are not only new but also not degenerated successively by the elliptic function solutions. We believe that this method should play an important role for finding exact solutions in the mathematical physics. For these new traveling wave solutions, we give some computer simulations to illustrate our main results. |
| format | Article |
| id | doaj-art-a0802ec167b744d6a0cf3f72ecf4db4e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a0802ec167b744d6a0cf3f72ecf4db4e2025-02-03T06:42:09ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/523732523732Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov EquationsFu Zhang0Jian-ming Qi1Wen-jun Yuan2Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, ChinaDepartment of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaWe employ the complex method to obtain all meromorphic exact solutions of complex Drinfeld-Sokolov equations (DS system of equations). The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all constant and simply periodic traveling wave exact solutions of the equations (DS) are solitary wave solutions, the complex method is simpler than other methods and there exist simply periodic solutions vs,3(z) which are not only new but also not degenerated successively by the elliptic function solutions. We believe that this method should play an important role for finding exact solutions in the mathematical physics. For these new traveling wave solutions, we give some computer simulations to illustrate our main results.http://dx.doi.org/10.1155/2013/523732 |
| spellingShingle | Fu Zhang Jian-ming Qi Wen-jun Yuan Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations Journal of Applied Mathematics |
| title | Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations |
| title_full | Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations |
| title_fullStr | Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations |
| title_full_unstemmed | Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations |
| title_short | Further Results about Traveling Wave Exact Solutions of the Drinfeld-Sokolov Equations |
| title_sort | further results about traveling wave exact solutions of the drinfeld sokolov equations |
| url | http://dx.doi.org/10.1155/2013/523732 |
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