Bell polynomials approach applied to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation
type: Item
instance of: scholarly article
title: Bell polynomials approach applied to \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation
zbMATH Open document ID: 1474.35560
DOI: 10.1155/2014/523136
author: Wenguang Cheng
author: Biao Li
author: Yong Chen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The bilinear form, bilinear Bäcklund transformation, and Lax pair of a \((2+1)\)-dimensional variable-coefficient Caudrey-Dodd-Gibbon-Kotera-Sawada equation are derived through Bell polynomials. The integrable constraint conditions on variable coefficients can be naturally obtained in the procedure of applying the Bell polynomials approach. Moreover, the \(N\)-soliton solutions of the equation are constructed with the help of the Hirota bilinear method. Finally, the infinite conservation laws of this equation are obtained by decoupling binary Bell polynomials. All conserved densities and fluxes are illustrated with explicit recursion formulae.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 7022550
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/523136
OpenAlex ID: W1588763593
Wikidata QID: Q59039131
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description: scientific article; zbMATH DE number 7022550