Generalized bilinear differential operators, binary Bell polynomials, and exact periodic wave solution of Boiti-Leon-Manna-Pempinelli equation
type: Item
instance of: scholarly article
title: Generalized bilinear differential operators, binary Bell polynomials, and exact periodic wave solution of Boiti-Leon-Manna-Pempinelli equation
zbMATH Open document ID: 1474.35225
DOI: 10.1155/2014/738609
author: Yanfeng Zhang
author: Yongfeng Zhang
author: Huan-He Dong
author: Bao-Shu Yin
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35B10
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7022983
Wikidata QID: Q59041079
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/738609
OpenAlex ID: W2052210839
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description: scientific article; zbMATH DE number 7022983