Approximate analytical solution for the forced Korteweg-de Vries equation
type: Item
instance of: scholarly article
title: Approximate analytical solution for the forced Korteweg-de Vries equation
zbMATH Open document ID: 1397.35251
DOI: 10.1155/2013/795818
author: Vincent Daniel David
author: Mojtaba Nazari
author: Vahid Barati
author: Faisal Salah
author: Zainal Abdul Aziz
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: The forced Korteweg-de Vries (fKdV) equations are solved using Homotopy Analysis Method (HAM). HAM is an approximate analytical technique which provides a novel way to obtain series solutions of such nonlinear problems. It has the auxiliary parameter \(\hbar\), where it is easy to adjust and control the convergence region of the series solution. Some examples of forcing terms are employed to analyse the behaviours of the HAM solutions for the different fKdV equations. Finally, this form of HAM solution is compared with the analytical soliton-type solution of fKdV equation as derived by Zhao and Guo. The results is found to be in good agreement with Zhao and Guo.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35C10
zbMATH DE Number: 6950876
Wikidata QID: Q59004518
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/795818
OpenAlex ID: W1964419193
description: scientific article; zbMATH DE number 6950876