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

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  • Wenjun Yuan
  • Qiuhui Chen
  • Jianming Qi
  • Yezhou Li

Abstract

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.

Suggested Citation

  • Wenjun Yuan & Qiuhui Chen & Jianming Qi & Yezhou Li, 2013. "The General Traveling Wave Solutions of the Fisher Equation with Degree Three," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:657918
    DOI: 10.1155/2013/657918
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    References listed on IDEAS

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    1. Feng, Zhaosheng & Li, Yang, 2006. "Complex traveling wave solutions to the Fisher equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 115-123.
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