Observations on the basic \((G'/G)\)-expansion method for finding solutions to nonlinear evolution equations
type: Item
instance of: scholarly article
title: Observations on the basic \((G'/G)\)-expansion method for finding solutions to nonlinear evolution equations
zbMATH Open document ID: 1203.35239
published in: Applied Mathematics and Computation
publication date: 2010-11-30T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35Q51
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35A24
zbMATH DE Number: 5821478
zbMATH Keywords: nonlinear evolution equations
zbMATH Keywords: tanh-function expansion method
zbMATH Keywords: \((G'/G)\)-expansion method
zbMATH Keywords: solitary travelling-waves
author: E. J. Parkes
describes a project that uses: ATFM
MaRDI profile type: Publication
full work available at URL: j.amc.2010.03.073
OpenAlex ID: W2141838390
cites work: The \((\frac{G'}{G})\)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
cites work: Application of the \(\frac{G^\prime}{G}\)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations
cites work: Analytic study on two nonlinear evolution equations by using the (\(G^{\prime}/G\))-expansion method
cites work: On the validity and reliability of the (\(G^{\prime}/G\))-expansion method by using higher-order nonlinear equations
cites work: Exact and explicit solutions to some nonlinear evolution equations by utilizing the \((G'/G)\)-expansion method
cites work: Some applications of the \((\frac{G'}{G})\)-expansion method to non-linear partial differential equations
cites work: Application of the \((\frac{G'}{G})\)-expansion method for nonlinear evolution equations
cites work: New exact travelling wave solutions of nonlinear physical models
cites work: New application of the \((G'/G)\)-expansion method
cites work: New application of the \((\frac{G'}{G})\)-expansion method to higher-order nonlinear equations
cites work: Application of \(\frac{G^{\prime }}{G}\)-expansion method to two nonlinear evolution equations
cites work: Constructing of new exact solutions to the GKdV-mKdV equation with any-order nonlinear terms by \((\frac{G'}{G})\)-expansion method
cites work: Discrete exact solutions to some nonlinear differential-difference equations via the \((G'/G)\)-expansion method
cites work: Extended tanh-function method and its applications to nonlinear equations
cites work: Be careful with the Exp-function method
cites work: On ``new travelling wave solutions'' of the KdV and the KdV-Burgers equations
cites work: Seven common errors in finding exact solutions of nonlinear differential equations
cites work: A note on travelling-wave solutions to Lax's seventh-order KdV equation
cites work: A note on solitary travelling-wave solutions to the transformed reduced Ostrovsky equation
cites work: Observations on the tanh-coth expansion method for finding solutions to nonlinear evolution equations
cites work: An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
cites work: A note on the homogeneous balance method
DOI: 10.1016/J.AMC.2010.03.073
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description: scientific article; zbMATH DE number 5821478