The General Traveling Wave Solutions of the Fisher Equation with Degree Three

The General Traveling Wave Solutions of the Fisher Equation with Degree Three

We employ the complex method to research the integrality of the Fisher equations with degree three. We obtain the sufficient and necessary condition of the integrable of the Fisher equations with degree three and the general meromorphic solutions of the integrable Fisher equations with degree three,...

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Main Authors: Wenjun Yuan, Qiuhui Chen, Jianming Qi, Yezhou Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2013/657918
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spelling doaj-9d1c86bca4d4474f8274ea367c60c3d52021-07-02T01:57:11ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/657918657918The General Traveling Wave Solutions of the Fisher Equation with Degree ThreeWenjun Yuan0Qiuhui Chen1Jianming Qi2Yezhou Li3School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaCisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510420, ChinaDepartment of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, ChinaSchool of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaWe employ the complex method to research the integrality of the Fisher equations with degree three. We obtain the sufficient and necessary condition of the integrable of the Fisher equations with degree three and the general meromorphic solutions of the integrable Fisher equations with degree three, which improves the corresponding results obtained by Feng and Li (2006), Guo and Chen (1991), and Ağırseven and Öziş (2010). Moreover, all wg,1(z) are new general meromorphic solutions of the Fisher equations with degree three for c=±3/2. Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.http://dx.doi.org/10.1155/2013/657918
collection DOAJ
language English
format Article
sources DOAJ
author Wenjun Yuan
Qiuhui Chen
Jianming Qi
Yezhou Li
spellingShingle Wenjun Yuan
Qiuhui Chen
Jianming Qi
Yezhou Li
The General Traveling Wave Solutions of the Fisher Equation with Degree Three
Advances in Mathematical Physics
author_facet Wenjun Yuan
Qiuhui Chen
Jianming Qi
Yezhou Li
author_sort Wenjun Yuan
title The General Traveling Wave Solutions of the Fisher Equation with Degree Three
title_short The General Traveling Wave Solutions of the Fisher Equation with Degree Three
title_full The General Traveling Wave Solutions of the Fisher Equation with Degree Three
title_fullStr The General Traveling Wave Solutions of the Fisher Equation with Degree Three
title_full_unstemmed The General Traveling Wave Solutions of the Fisher Equation with Degree Three
title_sort general traveling wave solutions of the fisher equation with degree three
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2013-01-01
description We employ the complex method to research the integrality of the Fisher equations with degree three. We obtain the sufficient and necessary condition of the integrable of the Fisher equations with degree three and the general meromorphic solutions of the integrable Fisher equations with degree three, which improves the corresponding results obtained by Feng and Li (2006), Guo and Chen (1991), and Ağırseven and Öziş (2010). Moreover, all wg,1(z) are new general meromorphic solutions of the Fisher equations with degree three for c=±3/2. Our results show that the complex method provides a powerful mathematical tool for solving a large number of nonlinear partial differential equations in mathematical physics.
url http://dx.doi.org/10.1155/2013/657918
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