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Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations

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Bibliographic Details
Main Authors: Masemola, P., Abdul Hamid, Kara, Prof. Dr., Kamran, Fakhar
Other Authors: Abdul.Kara@wits.ac.za
Format: Article
Language:English
Published: Springer Science+Business Media Dordrecht. 2014
Subjects:
Double reduction
Exact/closed-form solutions
Fisher equation
Nagumo equation
Online Access:http://dspace.unimap.edu.my:80/dspace/handle/123456789/34266
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spelling my.unimap-342662014-05-05T13:08:02Z Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations Masemola, P. Abdul Hamid, Kara, Prof. Dr. Kamran, Fakhar Abdul.Kara@wits.ac.za Double reduction Exact/closed-form solutions Fisher equation Nagumo equation Link to publisher's homepage at http://link.springer.com/ We show that conservation laws and their corresponding multipliers can be used to reformulate systems of partial differential equations and obtain some new classes of solutions. By applying the generalized double-reduction theorem to these systems via associated symmetries, one can construct exact solutions. This procedure is applied to specific cases of the density-dependent Nagumo and Fisher equations for which we obtain new solutions that differ in form from the well known analytic and numerical solutions. 2014-05-05T13:08:02Z 2014-05-05T13:08:02Z 2013-10 Article Journal of Engineering Mathematics, vol. 82(1), 2013, pages 77-83 0022-0833 http://link.springer.com/article/10.1007%2Fs10665-012-9591-8 http://dspace.unimap.edu.my:80/dspace/handle/123456789/34266 en Springer Science+Business Media Dordrecht.
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Double reduction
Exact/closed-form solutions
Fisher equation
Nagumo equation
spellingShingle Double reduction
Exact/closed-form solutions
Fisher equation
Nagumo equation
Masemola, P.
Abdul Hamid, Kara, Prof. Dr.
Kamran, Fakhar
Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations
description Link to publisher's homepage at http://link.springer.com/
author2 Abdul.Kara@wits.ac.za
author_facet Abdul.Kara@wits.ac.za
Masemola, P.
Abdul Hamid, Kara, Prof. Dr.
Kamran, Fakhar
format Article
author Masemola, P.
Abdul Hamid, Kara, Prof. Dr.
Kamran, Fakhar
author_sort Masemola, P.
title Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations
title_short Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations
title_full Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations
title_fullStr Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations
title_full_unstemmed Reductions and new exact solutions of the density-dependent Nagumo and Fisher equations
title_sort reductions and new exact solutions of the density-dependent nagumo and fisher equations
publisher Springer Science+Business Media Dordrecht.
publishDate 2014
url http://dspace.unimap.edu.my:80/dspace/handle/123456789/34266
_version_ 1643797443041558528
score 13.214268

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