An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves

Sumit Gupta, Devendra Kumar, and Jagdev Singh. "An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves." Waves, Wavelets and Fractals 3.1 (2017): 14-30. <http://eudml.org/doc/288117>.

@article{SumitGupta2017,
abstract = {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.},
author = {Sumit Gupta, Devendra Kumar, Jagdev Singh},
journal = {Waves, Wavelets and Fractals},
keywords = {Hirota-Satsuma coupled KdV equations; Shallow water waves; Homotopy analysis method; Laplace transform method; Approximate solution},
language = {eng},
number = {1},
pages = {14-30},
title = {An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves},
url = {http://eudml.org/doc/288117},
volume = {3},
year = {2017},
}

TY - JOUR
AU - Sumit Gupta
AU - Devendra Kumar
AU - Jagdev Singh
TI - An efficient computational approach for generalized Hirota-Satsuma coupled KdV equations arising in shallow water waves
JO - Waves, Wavelets and Fractals
PY - 2017
VL - 3
IS - 1
SP - 14
EP - 30
AB - 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.
LA - eng
KW - Hirota-Satsuma coupled KdV equations; Shallow water waves; Homotopy analysis method; Laplace transform method; Approximate solution
UR - http://eudml.org/doc/288117
ER -