Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations

ABSTRACT: In this work, recently developed modified simple equation (MSE) method is applied to find exact traveling wave solutions of nonlinear evolution equations (NLEEs). To do so, we consider the (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and coupled K...

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Detalles Bibliográficos
Autores principales: Khan, Kamruzzaman, Akbar, M Ali, Islam, S M Rayhanul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2014
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4447750/
https://www.ncbi.nlm.nih.gov/pubmed/26034698
http://dx.doi.org/10.1186/2193-1801-3-724
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author Khan, Kamruzzaman
Akbar, M Ali
Islam, S M Rayhanul
author_facet Khan, Kamruzzaman
Akbar, M Ali
Islam, S M Rayhanul
author_sort Khan, Kamruzzaman
collection PubMed
description ABSTRACT: In this work, recently developed modified simple equation (MSE) method is applied to find exact traveling wave solutions of nonlinear evolution equations (NLEEs). To do so, we consider the (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and coupled Klein-Gordon (cKG) equations. Two classes of explicit exact solutions–hyperbolic and trigonometric solutions of the associated equations are characterized with some free parameters. Then these exact solutions correspond to solitary waves for particular values of the parameters. PACS NUMBERS: 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg
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spelling pubmed-44477502015-06-01 Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations Khan, Kamruzzaman Akbar, M Ali Islam, S M Rayhanul Springerplus Research ABSTRACT: In this work, recently developed modified simple equation (MSE) method is applied to find exact traveling wave solutions of nonlinear evolution equations (NLEEs). To do so, we consider the (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and coupled Klein-Gordon (cKG) equations. Two classes of explicit exact solutions–hyperbolic and trigonometric solutions of the associated equations are characterized with some free parameters. Then these exact solutions correspond to solitary waves for particular values of the parameters. PACS NUMBERS: 02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg Springer International Publishing 2014-12-10 /pmc/articles/PMC4447750/ /pubmed/26034698 http://dx.doi.org/10.1186/2193-1801-3-724 Text en © Khan 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/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.
spellingShingle Research
Khan, Kamruzzaman
Akbar, M Ali
Islam, S M Rayhanul
Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations
title Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations
title_full Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations
title_fullStr Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations
title_full_unstemmed Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations
title_short Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations
title_sort exact solutions for (1 + 1)-dimensional nonlinear dispersive modified benjamin-bona-mahony equation and coupled klein-gordon equations
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4447750/
https://www.ncbi.nlm.nih.gov/pubmed/26034698
http://dx.doi.org/10.1186/2193-1801-3-724
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