An approximate solution for a generalized Hirota-Satsom coupled
(Kdv) equation
H.A. Wahab
Rafi Ullah
Saira Bhatti
M. Shahzad
M. Naeem
Fawad Hussain
Sarfraz Ahmad
Department of Mathematics, Hazara University, Manshera, Pakistan
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Department of IT, AUST, Abbottabad, Pakistan
Department of Mathematics, AUST, Abbottabad, Pakistan
Computational Ecology and Software
ISSN 2220-721X
http://www.iaees.org/publications/journals/ces/online-version.asp
2017
7
1
28
37
International Academy of Ecology and Environmental Sciences
Hong Kong
22 November 2016
26 December 2016
1 March 2017
Homotopy Analysis Method (HAM)
non-linear systems of KdV equations
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.
DOI 10.0000/issn-2220-721x-compuecol-2017-v7-0003
http://www.iaees.org/publications/journals/ces/articles/2017-7(1)/an-approximate-solution-for-a-generalized-Hirota-Satsom-equation.pdf