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Advances in Mathematical PhysicsVolume 2013 2013, Article ID 657918, 5 pages

Research Article

School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China

Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou 510006, China

Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510420, China

Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306, China

School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received 13 May 2013; Accepted 19 August 2013

Academic Editor: Ricardo Weder

Copyright © 2013 Wenjun Yuan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We employ the complex method to research theintegrality of the Fisher equations with degree three. We obtain the sufficient and necessary condition of the integrable of the Fisher equations withdegree three and the general meromorphic solutions of the integrableFisher equations with degree three, which improves the correspondingresults obtained by Feng and Li 2006, Guo and Chen 1991, and Ağırseven and Öziş 2010. Moreover, all are new general meromorphic solutions of the Fisher equations with degree three for . 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.





Autor: Wenjun Yuan, Qiuhui Chen, Jianming Qi, and Yezhou Li

Fuente: https://www.hindawi.com/



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