Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation

ABSTRACT: Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature. The investigation of traveling wave solutions of nonlinear partial differential equations (NPDEs) plays a significant role in the study of...

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Detalles Bibliográficos
Autores principales: Islam, Md Hamidul, Khan, Kamruzzaman, Akbar, M Ali, Salam, Md Abdus
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2014
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3946109/
https://www.ncbi.nlm.nih.gov/pubmed/24616841
http://dx.doi.org/10.1186/2193-1801-3-105
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author Islam, Md Hamidul
Khan, Kamruzzaman
Akbar, M Ali
Salam, Md Abdus
author_facet Islam, Md Hamidul
Khan, Kamruzzaman
Akbar, M Ali
Salam, Md Abdus
author_sort Islam, Md Hamidul
collection PubMed
description ABSTRACT: Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature. The investigation of traveling wave solutions of nonlinear partial differential equations (NPDEs) plays a significant role in the study of nonlinear physical phenomena. In this article, we construct the traveling wave solutions of modified KDV-ZK equation and viscous Burgers equation by using an enhanced (G '/G) -expansion method. A number of traveling wave solutions in terms of unknown parameters are obtained. Derived traveling wave solutions exhibit solitary waves when special values are given to its unknown parameters. MATHEMATICS SUBJECT CLASSIFICATION: 35C07; 35C08; 35P99
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spelling pubmed-39461092014-03-10 Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation Islam, Md Hamidul Khan, Kamruzzaman Akbar, M Ali Salam, Md Abdus Springerplus Research ABSTRACT: Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature. The investigation of traveling wave solutions of nonlinear partial differential equations (NPDEs) plays a significant role in the study of nonlinear physical phenomena. In this article, we construct the traveling wave solutions of modified KDV-ZK equation and viscous Burgers equation by using an enhanced (G '/G) -expansion method. A number of traveling wave solutions in terms of unknown parameters are obtained. Derived traveling wave solutions exhibit solitary waves when special values are given to its unknown parameters. MATHEMATICS SUBJECT CLASSIFICATION: 35C07; 35C08; 35P99 Springer International Publishing 2014-02-21 /pmc/articles/PMC3946109/ /pubmed/24616841 http://dx.doi.org/10.1186/2193-1801-3-105 Text en © Islam 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
Islam, Md Hamidul
Khan, Kamruzzaman
Akbar, M Ali
Salam, Md Abdus
Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation
title Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation
title_full Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation
title_fullStr Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation
title_full_unstemmed Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation
title_short Exact traveling wave solutions of modified KdV–Zakharov–Kuznetsov equation and viscous Burgers equation
title_sort exact traveling wave solutions of modified kdv–zakharov–kuznetsov equation and viscous burgers equation
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3946109/
https://www.ncbi.nlm.nih.gov/pubmed/24616841
http://dx.doi.org/10.1186/2193-1801-3-105
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