Variational iteration method for solving the generalized Degasperis-Procesi equation
type: Item
instance of: scholarly article
title: Variational iteration method for solving the generalized Degasperis-Procesi equation
zbMATH Open document ID: 1474.65409
DOI: 10.1155/2014/629434
author: Qian Lijuan
author: Ma Kaiping
author: Lixin Tian
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We introduce the variational iteration method for solving the generalized Degasperis-Procesi equation. Firstly, according to the variational iteration, the Lagrange multiplier is found after making the correction functional. Furthermore, several approximations of \(u_{n + 1}(x, t)\) which is converged to \(u(x, t)\) are obtained, and the exact solutions of Degasperis-Procesi equation will be obtained by using the traditional variational iteration method with a suitable initial approximation \(u_0(x, t)\). Finally, after giving the perturbation item, the approximate solution for original equation will be expressed specifically.
Mathematics Subject Classification ID: 65M99
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 7022772
Wikidata QID: Q59040174
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/629434
OpenAlex ID: W2059421194
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description: scientific article; zbMATH DE number 7022772