Approximate Analytical Solution for the Forced Korteweg-de Vries Equation. (9th December 2013)

• Record Type: Journal Article
• Authors: David, Vincent Daniel; Nazari, Mojtaba; Barati, Vahid; Salah, Faisal; Abdul Aziz, Zainal
• Other Names: Gao Huijun Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-12-09
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/795818
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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 ℏ, 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.