eng
International Academy of Ecology and Environmental Sciences
Computational Ecology and Software
2220-721X
2017-3-1
7
1
28
37
3
article
An approximate solution for a generalized Hirota-Satsom coupled
(Kdv) equation
H.A. Wahab
1
2
Rafi Ullah
1
2
Saira Bhatti
1
2
M. Shahzad
1
2
M. Naeem
1
2
Fawad Hussain
1
2
Sarfraz Ahmad
1
2
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
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.
http://www.iaees.org/publications/journals/ces/articles/2017-7(1)/an-approximate-solution-for-a-generalized-Hirota-Satsom-equation.pdf
Homotopy Analysis Method (HAM)
non-linear systems of KdV equations