An approximate solution for a generalized Hirota-Satsom coupled (Kdv) equation

In this paper the Homotopy Analysis Method (HAM), is applied to find the approximate solution of Hirota-Satsuma coupled (KdV) equations, which don't need a small parameter for solution. The results obtained by HAM is compared with exact solution, the results divulge that the Homotopy Analysis M...

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Bibliographic Details
Main Authors: H.A. Wahab, Rafi Ullah, Saira Bhatti, et al.
Format: Article
Language:English
Published: International Academy of Ecology and Environmental Sciences 2017-03-01
Series:Computational Ecology and Software
Subjects:
Online Access:http://www.iaees.org/publications/journals/ces/articles/2017-7(1)/an-approximate-solution-for-a-generalized-Hirota-Satsom-equation.pdf
Description
Summary:In this paper the Homotopy Analysis Method (HAM), is applied to find the approximate solution of Hirota-Satsuma coupled (KdV) equations, which don't need a small parameter for solution. The results obtained by HAM is compared with exact solution, the results divulge that the Homotopy Analysis Method are most accurate, closed and suitable to exact solution of the equation, as compare to Homotopy Perturbation Method. It is predicated that the HAM can be found usually.
ISSN:2220-721X
2220-721X