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Bulletin of Mathematical Biology

, Volume 41, Issue 6, pp 835–840 | Cite as

Explicit solutions of Fisher's equation for a special wave speed

  • Mark J. Ablowitz
  • Anthony Zeppetella
Article

Abstract

The travelling waves for Fisher's equation are shown to be of a simple nature for the special wave speeds\(c = \pm 5/\sqrt {(6)} \). In this case the equation is shown to be of Painlevé type, i.e. solutions admit only poles as movable singularities. The general solution for this wave speed is found and a method is presented that can be applied to the solution of other nonlinear equations of biological and physical interest.

Keywords

Wave Speed Laurent Series Physical Interest Simple Nature Exponential Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Society for Mathematical Biology 1979

Authors and Affiliations

  • Mark J. Ablowitz
    • 1
  • Anthony Zeppetella
    • 1
  1. 1.Department of Mathematics and Computer ScienceClarkson CollegePotsdamUSA

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