Conservation laws and traveling wave solutions of a generalized nonlinear ZK-BBM equation
type: Item
instance of: scholarly article
title: Conservation laws and traveling wave solutions of a generalized nonlinear ZK-BBM equation
zbMATH Open document ID: 1468.35163
DOI: 10.1155/2014/139513
author: Khadijo Rashid Adem
author: Chaudry Masood Khalique
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study a generalized two-dimensional nonlinear Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation, which is in fact Benjamin-Bona-Mahony equation formulated in the ZK sense. Conservation laws for this equation are constructed by using the new conservation theorem due to Ibragimov and the multiplier method. Furthermore, traveling wave solutions are obtained by employing the \((G'/ G)\)-expansion method.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 7021793
zbMATH Keywords: generalized two-dimensional nonlinear Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZK-BBM) equation
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/139513
OpenAlex ID: W2055909339
Wikidata QID: Q59035430
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description: scientific article; zbMATH DE number 7021793