Exact solutions of Boussinesq equations using differential transform method combined with Adomian polynomials

H.R. Marasi, M. Daneshbastam, M. Sedighi, M. Nosraty

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.

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Published: 2014-10-15

How to 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, Engineering Mathematics Letters, Vol 2014 (2014), Article ID 21

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.

Engineering Mathematics Letters

ISSN 2049-9337

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