Exact solutions of Boussinesq equations using differential transform method combined with Adomian polynomials
Abstract
The problem addressed in this paper is to obtain new exact solitary solutions for the Boussinesq-like B(m,n) equations with fully nonlinear dispersion. The exact solitary wave solutions can be used to specify initial data for the incident waves in the Boussinesq numerical model and for the verification of the associated computed solution. We use differential transform method. The nonlinear terms can be handled by the use of Adomian polynomials. The proposed technique is general and can be easily modified to solve a wide range of Boussinesq-like equations in coastal engineering.
- Published
- 15 October 2014
- Volume
- 2014 (2014)
- License
- CC BY 3.0
Copyright © 2014 H.R. Marasi, M. Daneshbastam, M. Sedighi, M. Nosraty. 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
H. R. Marasi, M. Daneshbastam, M. Sedighi, M. Nosraty, Exact solutions of Boussinesq equations using differential transform method combined with Adomian polynomials, Eng. Math. Lett. 2014 (2014), 21.
BibTeX
@article{Marasi2014,
author = {Marasi, H.R. and Daneshbastam, M. and Sedighi, M. and Nosraty, M.},
title = {Exact solutions of Boussinesq equations using differential transform method combined with Adomian polynomials},
journal = {Eng. Math. Lett.},
volume = {2014},
year = {2014},
pages = {21},
doi = {}
}