Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation

Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation

The Painlevé integrability of the (4+1)-dimensional Fokas equation is verified by the WTC method of Painlevé analysis combined with a new and more general transformation. By virtue of the truncated Painlevé expansion, two new exact solutions with arbitrary differentiable functions are obtained. Than...

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Main Authors: Sheng Zhang, Meitong Chen
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/367425
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spelling doaj-683ba6d68aef4201902e13de28c6eae12020-11-24T21:29:17ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/367425367425Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas EquationSheng Zhang0Meitong Chen1School of Mathematics and Physics, Bohai University, Jinzhou 121013, ChinaSchool of Mathematics and Physics, Bohai University, Jinzhou 121013, ChinaThe Painlevé integrability of the (4+1)-dimensional Fokas equation is verified by the WTC method of Painlevé analysis combined with a new and more general transformation. By virtue of the truncated Painlevé expansion, two new exact solutions with arbitrary differentiable functions are obtained. Thanks to the arbitrariness of the included functions, the obtained exact solutions not only possess rich spatial structures but also help to bring about two-wave solutions and three-wave solutions. It is shown that the transformation adopted in this work plays a key role in testing the Painlevé integrability and constructing the exact solutions of the Fokas equation.http://dx.doi.org/10.1155/2015/367425
collection DOAJ
language English
format Article
sources DOAJ
author Sheng Zhang
Meitong Chen
spellingShingle Sheng Zhang
Meitong Chen
Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation
Mathematical Problems in Engineering
author_facet Sheng Zhang
Meitong Chen
author_sort Sheng Zhang
title Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation
title_short Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation
title_full Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation
title_fullStr Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation
title_full_unstemmed Painlevé Integrability and New Exact Solutions of the (4 + 1)-Dimensional Fokas Equation
title_sort painlevé integrability and new exact solutions of the (4 + 1)-dimensional fokas equation
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description The Painlevé integrability of the (4+1)-dimensional Fokas equation is verified by the WTC method of Painlevé analysis combined with a new and more general transformation. By virtue of the truncated Painlevé expansion, two new exact solutions with arbitrary differentiable functions are obtained. Thanks to the arbitrariness of the included functions, the obtained exact solutions not only possess rich spatial structures but also help to bring about two-wave solutions and three-wave solutions. It is shown that the transformation adopted in this work plays a key role in testing the Painlevé integrability and constructing the exact solutions of the Fokas equation.
url http://dx.doi.org/10.1155/2015/367425
work_keys_str_mv AT shengzhang painleveintegrabilityandnewexactsolutionsofthe41dimensionalfokasequation
AT meitongchen painleveintegrabilityandnewexactsolutionsofthe41dimensionalfokasequation
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