Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method

ABSTRACT: Exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the internal mechanism of complex physical phenomena. In this work, the exact traveling wave solutions of the Boussinesq equation is studied by using the new generalized (G′/G)-expansion method. Abundant t...

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Detalles Bibliográficos
Autores principales: Alam, Md Nur, Akbar, M Ali, Roshid, Harun-Or-
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2014
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3931864/
https://www.ncbi.nlm.nih.gov/pubmed/24570845
http://dx.doi.org/10.1186/2193-1801-3-43
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author Alam, Md Nur
Akbar, M Ali
Roshid, Harun-Or-
author_facet Alam, Md Nur
Akbar, M Ali
Roshid, Harun-Or-
author_sort Alam, Md Nur
collection PubMed
description ABSTRACT: Exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the internal mechanism of complex physical phenomena. In this work, the exact traveling wave solutions of the Boussinesq equation is studied by using the new generalized (G′/G)-expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational functions. It is shown that the new approach of generalized (G′/G)-expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations in mathematical physics and engineering. PACS: 05.45.Yv, 02.30.Jr, 02.30.Ik
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spelling pubmed-39318642014-02-25 Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method Alam, Md Nur Akbar, M Ali Roshid, Harun-Or- Springerplus Research ABSTRACT: Exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the internal mechanism of complex physical phenomena. In this work, the exact traveling wave solutions of the Boussinesq equation is studied by using the new generalized (G′/G)-expansion method. Abundant traveling wave solutions with arbitrary parameters are successfully obtained by this method and the wave solutions are expressed in terms of the hyperbolic, trigonometric, and rational functions. It is shown that the new approach of generalized (G′/G)-expansion method is a powerful and concise mathematical tool for solving nonlinear partial differential equations in mathematical physics and engineering. PACS: 05.45.Yv, 02.30.Jr, 02.30.Ik Springer International Publishing 2014-01-23 /pmc/articles/PMC3931864/ /pubmed/24570845 http://dx.doi.org/10.1186/2193-1801-3-43 Text en © Alam et al.; licensee Springer. 2014 This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research
Alam, Md Nur
Akbar, M Ali
Roshid, Harun-Or-
Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method
title Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method
title_full Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method
title_fullStr Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method
title_full_unstemmed Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method
title_short Traveling wave solutions of the Boussinesq equation via the new approach of generalized (G′/G)-expansion method
title_sort traveling wave solutions of the boussinesq equation via the new approach of generalized (g′/g)-expansion method
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3931864/
https://www.ncbi.nlm.nih.gov/pubmed/24570845
http://dx.doi.org/10.1186/2193-1801-3-43
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