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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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/597983 |
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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 |
work_keys_str_mv |
AT jfalzaidy extendedmappingmethodanditsapplicationstononlinearevolutionequations |
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