Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method

The new approach of the generalized (G′/G)-expansion method is an effective and powerful mathematical tool in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in science, engineering and mathematical physics. In this article, the new approach of the generalized (G′/G)-...

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Detalles Bibliográficos
Autores principales: Alam, Md Nur, Akbar, M Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2013
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3843771/
https://www.ncbi.nlm.nih.gov/pubmed/24307985
http://dx.doi.org/10.1186/2193-1801-2-617
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author Alam, Md Nur
Akbar, M Ali
author_facet Alam, Md Nur
Akbar, M Ali
author_sort Alam, Md Nur
collection PubMed
description The new approach of the generalized (G′/G)-expansion method is an effective and powerful mathematical tool in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in science, engineering and mathematical physics. In this article, the new approach of the generalized (G′/G)-expansion method is applied to construct traveling wave solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. The solutions are expressed in terms of the hyperbolic functions, the trigonometric functions and the rational functions. By means of this scheme, we found some new traveling wave solutions of the above mentioned equation.
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spelling pubmed-38437712013-12-04 Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method Alam, Md Nur Akbar, M Ali Springerplus Research The new approach of the generalized (G′/G)-expansion method is an effective and powerful mathematical tool in finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) in science, engineering and mathematical physics. In this article, the new approach of the generalized (G′/G)-expansion method is applied to construct traveling wave solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equation. The solutions are expressed in terms of the hyperbolic functions, the trigonometric functions and the rational functions. By means of this scheme, we found some new traveling wave solutions of the above mentioned equation. Springer International Publishing 2013-11-19 /pmc/articles/PMC3843771/ /pubmed/24307985 http://dx.doi.org/10.1186/2193-1801-2-617 Text en © Alam and Akbar; licensee Springer. 2013 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
Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method
title Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method
title_full Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method
title_fullStr Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method
title_full_unstemmed Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method
title_short Exact traveling wave solutions of the KP-BBM equation by using the new approach of generalized (G′/G)-expansion method
title_sort exact traveling wave solutions of the kp-bbm equation by using the new approach of generalized (g′/g)-expansion method
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3843771/
https://www.ncbi.nlm.nih.gov/pubmed/24307985
http://dx.doi.org/10.1186/2193-1801-2-617
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