Abstract and Applied Analysis

Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation

Huanhe Dong, Yanfeng Zhang, Yongfeng Zhang, and Baoshu Yin

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 738609, 6 pages.

Dates
First available in Project Euclid: 2 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412277098

Digital Object Identifier
doi:10.1155/2014/738609

Mathematical Reviews number (MathSciNet)
MR3232860

Zentralblatt MATH identifier
07022983

Citation

Dong, Huanhe; Zhang, Yanfeng; Zhang, Yongfeng; Yin, Baoshu. Generalized Bilinear Differential Operators, Binary Bell Polynomials, and Exact Periodic Wave Solution of Boiti-Leon-Manna-Pempinelli Equation. Abstr. Appl. Anal. 2014 (2014), Article ID 738609, 6 pages. doi:10.1155/2014/738609. https://projecteuclid.org/euclid.aaa/1412277098


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