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Explicit solutions of Fisher's equation for a special wave speed (1979)

Ablowitz, Mark J. ; Zeppetella, Anthony

Springer

Bulletin of mathematical biology 41 (1979), S. 835-840

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ISSN: 1522-9602

Source: Springer Online Journal Archives 1860-2000

Topics: Biology , Mathematics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02462380

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