Approximate Analytical Solution for the Forced Korteweg-de Vries Equation | Zendy

Vincent Daniel David | Zendy; Mojtaba Nazari | Zendy; Vahid Barati | Zendy; Faisal Salah | Zendy; Zainal Abdul Aziz | Zendy

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Approximate Analytical Solution for the Forced Korteweg-de Vries Equation

Author(s) -

Vincent Daniel David,

Mojtaba Nazari,

Vahid Barati,

Faisal Salah,

Zainal Abdul Aziz

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/795818

Subject(s) - homotopy analysis method , convergence (economics) , korteweg–de vries equation , series (stratigraphy) , mathematics , soliton , forcing (mathematics) , nonlinear system , mathematical analysis , homotopy , physics , pure mathematics , geology , paleontology , quantum mechanics , economics , economic growth

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

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