Exact and numerical solutions of nonlinear systems of partial differential equations using exp-function method and homotopy analysis method
Abstract
In This study, we employed the Exp-function method to obtain the exact solutions of two systems of nonlinear partial differential equations the coupled Hirota-Satsuma-KdV equation and the Hirota–Satsuma coupled KdV and compare this exact solutions with corresponding numerical solution obtained by the homotopy analysis method (HAM).
Copyright © 2020 M. Sh. Torky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. S. Torky, Exact and numerical solutions of nonlinear systems of partial differential equations using exp-function method and homotopy analysis method, J. Math. Comput. Sci. 10 (2020), 1925–1947. https://doi.org/10.28919/jmcs/4824
BibTeX
@article{Torky2020,
author = {Torky, M. Sh.},
title = {Exact and numerical solutions of nonlinear systems of partial differential equations using exp-function method and homotopy analysis method},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {1925--1947},
doi = {10.28919/jmcs/4824}
}