Nonlinearly self-adjoint, conservation laws and solutions for a forced BBM equation
type: Item
instance of: scholarly article
title: Nonlinearly self-adjoint, conservation laws and solutions for a forced BBM equation
zbMATH Open document ID: 1474.35562
DOI: 10.1155/2014/630282
author: M. L. Gandarias
author: Chaudry Masood Khalique
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We study a forced Benjamin-Bona-Mahony (BBM) equation. We prove that the equation is not weak self-adjoint; however, it is nonlinearly self-adjoint. By using a general theorem on conservation laws due to Nail Ibragimov and the symmetry generators, we find conservation laws for these partial differential equations without classical Lagrangians. We also present some exact solutions for a special case of the equation.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 7022773
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/630282
OpenAlex ID: W2118580008
Wikidata QID: Q59040178
cites work: Q5407387
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description: scientific article; zbMATH DE number 7022773