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2013 Approximate Analytical Solution for the Forced Korteweg-de Vries Equation
Vincent Daniel David, Mojtaba Nazari, Vahid Barati, Faisal Salah, Zainal Abdul Aziz
J. Appl. Math. 2013: 1-9 (2013). DOI: 10.1155/2013/795818

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 , 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.

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Vincent Daniel David. Mojtaba Nazari. Vahid Barati. Faisal Salah. Zainal Abdul Aziz. "Approximate Analytical Solution for the Forced Korteweg-de Vries Equation." J. Appl. Math. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/795818

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950876
MathSciNet: MR3138983
Digital Object Identifier: 10.1155/2013/795818

Rights: Copyright © 2013 Hindawi

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