On the solution of the nonlinear Korteweg-de Vries equation by the homotopy perturbation method

In this paper, the homotopy perturbation method is used to implement the nonlinear Korteweg–de Vries equation. The analytical solution of the equation is calculated in the form of a convergent power series with easily computable components. A suitable choice of an initial solution can lead to the ne...

Full description

Saved in:
Bibliographic Details
Published in:Communications in numerical methods in engineering Vol. 25; no. 12; pp. 1127 - 1136
Main Author: Yildirim, Ahmet
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 01.12.2009
Wiley
Subjects:
Computational techniques
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
General theory
homotopy perturbation method
Korteweg-de Vries equation
Mathematical methods in physics
nonlinear phenomena
Physics
Korteweg-de Vries equation
Homotopy
Perturbation techniques
Series expansion
homotopy perturbation method
Modelling
Non linear effect
Power series
Exact solution
nonlinear phenomena
ISSN:1069-8299, 1099-0887
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, the homotopy perturbation method is used to implement the nonlinear Korteweg–de Vries equation. The analytical solution of the equation is calculated in the form of a convergent power series with easily computable components. A suitable choice of an initial solution can lead to the needed exact solution by a few iterations. Copyright © 2008 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-M9C1V6LB-2
TÜBİTAK (The Scientific and Technological Research Council of Turkey)
istex:F9D986261B17A9B411FD826F14E4D03B70200429
ArticleID:CNM1146
ISSN:1069-8299
1099-0887
DOI:10.1002/cnm.1146