Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation
We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials, and a general Riemann theta function in terms of...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/738609 |
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| _version_ | 1832561816936382464 |
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| author | Huanhe Dong Yanfeng Zhang Yongfeng Zhang Baoshu Yin |
| author_facet | Huanhe Dong Yanfeng Zhang Yongfeng Zhang Baoshu Yin |
| author_sort | Huanhe Dong |
| collection | DOAJ |
| description | We introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials, and a general Riemann theta function in terms of the Hirota method. As applications, we solve the periodic wave solution of BLMP equation and it can be reduced to soliton solution via asymptotic analysis when the value of p is 5. |
| format | Article |
| id | doaj-art-079a0a38e11b43a89427d68ba482b8b4 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-079a0a38e11b43a89427d68ba482b8b42025-02-03T01:24:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/738609738609Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli EquationHuanhe Dong0Yanfeng Zhang1Yongfeng Zhang2Baoshu Yin3College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao 266590, ChinaInstitute of Oceanology, China Academy of Sciences, Qingdao 266071, ChinaWe introduce how to obtain the bilinear form and the exact periodic wave solutions of a class of (2+1)-dimensional nonlinear integrable differential equations directly and quickly with the help of the generalized Dp-operators, binary Bell polynomials, and a general Riemann theta function in terms of the Hirota method. As applications, we solve the periodic wave solution of BLMP equation and it can be reduced to soliton solution via asymptotic analysis when the value of p is 5.http://dx.doi.org/10.1155/2014/738609 |
| spellingShingle | Huanhe Dong Yanfeng Zhang Yongfeng Zhang Baoshu Yin Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation Abstract and Applied Analysis |
| title | Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation |
| title_full | Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation |
| title_fullStr | Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation |
| title_full_unstemmed | Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation |
| title_short | Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation |
| title_sort | generalized bilinear differential operators binary bell polynomials and exact periodic wave solution of boiti leon manna pempinelli equation |
| url | http://dx.doi.org/10.1155/2014/738609 |
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