Extended Mapping Method and Its Applications to Nonlinear Evolution Equations

We use extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics, and we obtain some new periodic wave solution for the Boussinesq system and the coupled KdV equations. This method is more powerful and will...

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Main Author: J. F. Alzaidy
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/597983
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spelling doaj-9263f4281b8c459b9caecff30d4b66242020-11-24T22:02:37ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/597983597983Extended Mapping Method and Its Applications to Nonlinear Evolution EquationsJ. F. Alzaidy0Mathematics Department, Faculty of Science, Taif University, Saudi ArabiaWe use extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics, and we obtain some new periodic wave solution for the Boussinesq system and the coupled KdV equations. This method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.http://dx.doi.org/10.1155/2012/597983
collection DOAJ
language English
format Article
sources DOAJ
author J. F. Alzaidy
spellingShingle J. F. Alzaidy
Extended Mapping Method and Its Applications to Nonlinear Evolution Equations
Journal of Applied Mathematics
author_facet J. F. Alzaidy
author_sort J. F. Alzaidy
title Extended Mapping Method and Its Applications to Nonlinear Evolution Equations
title_short Extended Mapping Method and Its Applications to Nonlinear Evolution Equations
title_full Extended Mapping Method and Its Applications to Nonlinear Evolution Equations
title_fullStr Extended Mapping Method and Its Applications to Nonlinear Evolution Equations
title_full_unstemmed Extended Mapping Method and Its Applications to Nonlinear Evolution Equations
title_sort extended mapping method and its applications to nonlinear evolution equations
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description We use extended mapping method and auxiliary equation method for finding new periodic wave solutions of nonlinear evolution equations in mathematical physics, and we obtain some new periodic wave solution for the Boussinesq system and the coupled KdV equations. This method is more powerful and will be used in further works to establish more entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical physics.
url http://dx.doi.org/10.1155/2012/597983
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