Study of coupled nonlinear partial differential equations for finding exact analytical solutions

Exact solutions of nonlinear partial differential equations (NPDEs) are obtained via the enhanced (G′/G)-expansion method. The method is subsequently applied to find exact solutions of the Drinfel'd–Sokolov–Wilson (DSW) equation and the (2+1)-dimensional Painlevé integrable Burgers (PIB) equati...

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Detalles Bibliográficos
Autores principales: Khan, Kamruzzaman, Akbar, M. Ali, Koppelaar, H.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society Publishing 2015
Materias:
Mathematics
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4632569/
https://www.ncbi.nlm.nih.gov/pubmed/26587256
http://dx.doi.org/10.1098/rsos.140406
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author Khan, Kamruzzaman
Akbar, M. Ali
Koppelaar, H.
author_facet Khan, Kamruzzaman
Akbar, M. Ali
Koppelaar, H.
author_sort Khan, Kamruzzaman
collection PubMed
description Exact solutions of nonlinear partial differential equations (NPDEs) are obtained via the enhanced (G′/G)-expansion method. The method is subsequently applied to find exact solutions of the Drinfel'd–Sokolov–Wilson (DSW) equation and the (2+1)-dimensional Painlevé integrable Burgers (PIB) equation. The efficiency of this method for finding these exact solutions is demonstrated. The method is effective and applicable for many other NPDEs in mathematical physics.
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spelling pubmed-46325692015-11-19 Study of coupled nonlinear partial differential equations for finding exact analytical solutions Khan, Kamruzzaman Akbar, M. Ali Koppelaar, H. R Soc Open Sci Mathematics Exact solutions of nonlinear partial differential equations (NPDEs) are obtained via the enhanced (G′/G)-expansion method. The method is subsequently applied to find exact solutions of the Drinfel'd–Sokolov–Wilson (DSW) equation and the (2+1)-dimensional Painlevé integrable Burgers (PIB) equation. The efficiency of this method for finding these exact solutions is demonstrated. The method is effective and applicable for many other NPDEs in mathematical physics. The Royal Society Publishing 2015-07-15 /pmc/articles/PMC4632569/ /pubmed/26587256 http://dx.doi.org/10.1098/rsos.140406 Text en © 2015 The Authors. http://creativecommons.org/licenses/by/4.0/ Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.
spellingShingle Mathematics
Khan, Kamruzzaman
Akbar, M. Ali
Koppelaar, H.
Study of coupled nonlinear partial differential equations for finding exact analytical solutions
title Study of coupled nonlinear partial differential equations for finding exact analytical solutions
title_full Study of coupled nonlinear partial differential equations for finding exact analytical solutions
title_fullStr Study of coupled nonlinear partial differential equations for finding exact analytical solutions
title_full_unstemmed Study of coupled nonlinear partial differential equations for finding exact analytical solutions
title_short Study of coupled nonlinear partial differential equations for finding exact analytical solutions
title_sort study of coupled nonlinear partial differential equations for finding exact analytical solutions
topic Mathematics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4632569/
https://www.ncbi.nlm.nih.gov/pubmed/26587256
http://dx.doi.org/10.1098/rsos.140406
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