Cargando…
New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation
In this article, a new extended (G′/G) -expansion method has been proposed for constructing more general exact traveling wave solutions of nonlinear evolution equations with the aid of symbolic computation. In order to illustrate the validity and effectiveness of the method, we pick the (3 + 1)-dime...
Autores principales: | , , , , |
---|---|
Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Springer International Publishing
2014
|
Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4320235/ https://www.ncbi.nlm.nih.gov/pubmed/25674431 http://dx.doi.org/10.1186/2193-1801-3-122 |
_version_ | 1782356090260815872 |
---|---|
author | Roshid, Harun-Or- Akbar, M Ali Alam, Md Nur Hoque, Md Fazlul Rahman, Nizhum |
author_facet | Roshid, Harun-Or- Akbar, M Ali Alam, Md Nur Hoque, Md Fazlul Rahman, Nizhum |
author_sort | Roshid, Harun-Or- |
collection | PubMed |
description | In this article, a new extended (G′/G) -expansion method has been proposed for constructing more general exact traveling wave solutions of nonlinear evolution equations with the aid of symbolic computation. In order to illustrate the validity and effectiveness of the method, we pick the (3 + 1)-dimensional potential-YTSF equation. As a result, abundant new and more general exact solutions have been achieved of this equation. It has been shown that the proposed method provides a powerful mathematical tool for solving nonlinear wave equations in applied mathematics, engineering and mathematical physics. |
format | Online Article Text |
id | pubmed-4320235 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2014 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-43202352015-02-11 New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation Roshid, Harun-Or- Akbar, M Ali Alam, Md Nur Hoque, Md Fazlul Rahman, Nizhum Springerplus Research In this article, a new extended (G′/G) -expansion method has been proposed for constructing more general exact traveling wave solutions of nonlinear evolution equations with the aid of symbolic computation. In order to illustrate the validity and effectiveness of the method, we pick the (3 + 1)-dimensional potential-YTSF equation. As a result, abundant new and more general exact solutions have been achieved of this equation. It has been shown that the proposed method provides a powerful mathematical tool for solving nonlinear wave equations in applied mathematics, engineering and mathematical physics. Springer International Publishing 2014-03-05 /pmc/articles/PMC4320235/ /pubmed/25674431 http://dx.doi.org/10.1186/2193-1801-3-122 Text en © Roshid 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 credited. |
spellingShingle | Research Roshid, Harun-Or- Akbar, M Ali Alam, Md Nur Hoque, Md Fazlul Rahman, Nizhum New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation |
title | New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation |
title_full | New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation |
title_fullStr | New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation |
title_full_unstemmed | New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation |
title_short | New extended (G’/G)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-YTSF equation |
title_sort | new extended (g’/g)-expansion method to solve nonlinear evolution equation: the (3 + 1)-dimensional potential-ytsf equation |
topic | Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4320235/ https://www.ncbi.nlm.nih.gov/pubmed/25674431 http://dx.doi.org/10.1186/2193-1801-3-122 |
work_keys_str_mv | AT roshidharunor newextendedggexpansionmethodtosolvenonlinearevolutionequationthe31dimensionalpotentialytsfequation AT akbarmali newextendedggexpansionmethodtosolvenonlinearevolutionequationthe31dimensionalpotentialytsfequation AT alammdnur newextendedggexpansionmethodtosolvenonlinearevolutionequationthe31dimensionalpotentialytsfequation AT hoquemdfazlul newextendedggexpansionmethodtosolvenonlinearevolutionequationthe31dimensionalpotentialytsfequation AT rahmannizhum newextendedggexpansionmethodtosolvenonlinearevolutionequationthe31dimensionalpotentialytsfequation |