Assessment of the exact solutions of the space and time fractional Benjamin-Bona-Mahony equation via the \(G'/G\)-expansion method, modified simple equation method, and Liu's theorem
type: Item
instance of: scholarly article
title: Assessment of the exact solutions of the space and time fractional Benjamin-Bona-Mahony equation via the \(G'/G\)-expansion method, modified simple equation method, and Liu's theorem
zbMATH Open document ID: 1392.35062
DOI: 10.1155/2014/217184
author: Olusola Kolebaje
author: Oyebola Popoola
published in: ISRN Mathematical Physics
publication date: 2018-08-07T00:00:00Z
review text: Summary: Exact travelling wave solutions to the space and time fractional Benjamin-Bona-Mahony (BBM) equation defined in the sense of Jumarie's modified Riemann-Liouville derivative via the \((G'/G)\) expansion and the modified simple equation methods are presented in this paper. A fractional complex transformation was applied to turn the fractional BBM equation into an equivalent integer order ordinary differential equation. New complex type travelling wave solutions to the space and time fractional BBM equation were obtained with Liu's theorem. The modified simple equation method is not effective for constructing solutions to the fractional BBM equation.
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35C20
zbMATH DE Number: 6914213
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/217184
OpenAlex ID: W2037468576
Wikidata QID: Q59047593
description: scientific article; zbMATH DE number 6914213