Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation | |
Dong, Huanhe1; Zhang, Yanfeng1; Zhang, Yongfeng1; Yin, Baoshu2,3 | |
刊名 | ABSTRACT AND APPLIED ANALYSIS |
2014 | |
页码 | 738609 |
通讯作者 | Zhang, YF (reprint author), Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China. |
英文摘要 | 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 D-p-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. |
学科主题 | Mathematics |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000339267400001 |
内容类型 | 期刊论文 |
源URL | [http://ir.qdio.ac.cn/handle/337002/23926] |
专题 | 海洋研究所_海洋环流与波动重点实验室 |
作者单位 | 1.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 3.Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China |
推荐引用方式 GB/T 7714 | Dong, Huanhe,Zhang, Yanfeng,Zhang, Yongfeng,et al. Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation[J]. ABSTRACT AND APPLIED ANALYSIS,2014:738609. |
APA | Dong, Huanhe,Zhang, Yanfeng,Zhang, Yongfeng,&Yin, Baoshu.(2014).Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation.ABSTRACT AND APPLIED ANALYSIS,738609. |
MLA | Dong, Huanhe,et al."Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation".ABSTRACT AND APPLIED ANALYSIS (2014):738609. |
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