A generalized and improved \((G'/G)\)-expansion method for nonlinear evolution equations
type: Item
instance of: scholarly article
title: A generalized and improved \((G'/G)\)-expansion method for nonlinear evolution equations
zbMATH Open document ID: 1264.35078
DOI: 10.1155/2012/459879
author: M. Ali Akbar
author: Norhashidah Hj. Mohd. Ali
author: Elsayed M. E. Zayed
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: A generalized and improved \((G'/G)\)-expansion method is proposed for finding more general type and new travelling wave solutions of nonlinear evolution equations. To illustrate the novelty and advantage of the proposed method, we solve the KdV equation, the Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation and the strain wave equation in microstructured solids. Abundant exact travelling wave solutions of these equations are obtained, which include the soliton, the hyperbolic function, the trigonometric function, and the rational functions. Also it is shown that the proposed method is efficient for solving nonlinear evolution equations in mathematical physics and in engineering.
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 6173296
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/459879
OpenAlex ID: W1517794036
Wikidata QID: Q58911690
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description: scientific article; zbMATH DE number 6173296