The aim of this letter is to present a numerical algorithm for generalized Hirota-Satsuma coupled KdV equations arising in unidirectional propagation of shallow water waves by using the homotopy analysis transform technique. The computational approach is the merged form of the homotopy analysis technique and Laplace transform scheme. The technique provides a series solution, which converges very fast, components are very easily calculated, and it does not require linearization or small perturbation. The numerical and graphical results derived by making use of proposed approach indicate that the scheme is very user friendly and easy to implement.
@article{bwmeta1.element.doi-10_1515_wwfaa-2017-0002,
author = {Sumit Gupta and Devendra Kumar and Jagdev Singh},
title = {An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves},
journal = {Waves, Wavelets and Fractals},
volume = {3},
year = {2017},
pages = {14-30},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0002}
}
Sumit Gupta; Devendra Kumar; Jagdev Singh. An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves. Waves, Wavelets and Fractals, Tome 3 (2017) pp. 14-30. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0002/