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Homotopy perturbation method for the nonlinear dispersive K ( m , n , 1) equations with fractional time derivatives

Homotopy perturbation method for the nonlinear dispersive K ( m , n , 1) equations with... Purpose – This paper aims to apply He's homotopy perturbation method (HPM) to obtain solitary solutions for the nonlinear dispersive equations with fractional time derivatives. Design/methodology/approach – The authors choose as an example the nonlinear dispersive and equations with fractional time derivatives to illustrate the validity and the advantages of the proposed method. Findings – The paper extends the application of the HPM to obtain analytic and approximate solutions to the nonlinear dispersive equations with fractional time derivatives. Originality/value – This paper extends the HPM to the equation with fractional time derivative. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat and Fluid Flow Emerald Publishing

Homotopy perturbation method for the nonlinear dispersive K ( m , n , 1) equations with fractional time derivatives

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References (56)

Publisher
Emerald Publishing
Copyright
Copyright © 2010 Emerald Group Publishing Limited. All rights reserved.
ISSN
0961-5539
DOI
10.1108/09615531011016948
Publisher site
See Article on Publisher Site

Abstract

Purpose – This paper aims to apply He's homotopy perturbation method (HPM) to obtain solitary solutions for the nonlinear dispersive equations with fractional time derivatives. Design/methodology/approach – The authors choose as an example the nonlinear dispersive and equations with fractional time derivatives to illustrate the validity and the advantages of the proposed method. Findings – The paper extends the application of the HPM to obtain analytic and approximate solutions to the nonlinear dispersive equations with fractional time derivatives. Originality/value – This paper extends the HPM to the equation with fractional time derivative.

Journal

International Journal of Numerical Methods for Heat and Fluid FlowEmerald Publishing

Published: Mar 30, 2010

Keywords: Difference equations; Wave physics; Deformation

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