Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations
We employ the complex method to obtain all meromorphic exact solutions of complex (2+1)-dimensional Boiti-Leon-Pempinelli equations (BLP system of equations). The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all rational and simply perio...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/743254 |
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| author | Jian-ming Qi Fu Zhang Wen-jun Yuan Zi-feng Huang |
| author_facet | Jian-ming Qi Fu Zhang Wen-jun Yuan Zi-feng Huang |
| author_sort | Jian-ming Qi |
| collection | DOAJ |
| description | We employ the complex method to obtain all meromorphic exact solutions of complex (2+1)-dimensional Boiti-Leon-Pempinelli equations (BLP system of equations). The idea introduced in this paper can be applied to other nonlinear evolution equations.
Our results show that all rational and simply periodic traveling wave exact solutions of the equations (BLP) are solitary wave solutions, the complex method is simpler than other methods, and there exist some rational solutions ur,2(z) and simply periodic solutions us,2–6(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-e22573061a654001bde641dd6a92ffd7 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-e22573061a654001bde641dd6a92ffd72025-02-03T01:26:17ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/743254743254Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli EquationsJian-ming Qi0Fu Zhang1Wen-jun Yuan2Zi-feng Huang3Department 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, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaWe employ the complex method to obtain all meromorphic exact solutions of complex (2+1)-dimensional Boiti-Leon-Pempinelli equations (BLP system of equations). The idea introduced in this paper can be applied to other nonlinear evolution equations. Our results show that all rational and simply periodic traveling wave exact solutions of the equations (BLP) are solitary wave solutions, the complex method is simpler than other methods, and there exist some rational solutions ur,2(z) and simply periodic solutions us,2–6(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/10.1155/2014/743254 |
| spellingShingle | Jian-ming Qi Fu Zhang Wen-jun Yuan Zi-feng Huang Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations The Scientific World Journal |
| title | Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations |
| title_full | Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations |
| title_fullStr | Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations |
| title_full_unstemmed | Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations |
| title_short | Some New Traveling Wave Exact Solutions of the (2+1)-Dimensional Boiti-Leon-Pempinelli Equations |
| title_sort | some new traveling wave exact solutions of the 2 1 dimensional boiti leon pempinelli equations |
| url | http://dx.doi.org/10.1155/2014/743254 |
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