Explicit solutions of Fisher's equation with three zeros

M. F. K. Abur-Robb

International Journal of Mathematics and Mathematical Sciences, 1990, vol. 13, 1-4

Abstract:

Explicit traveling wave solutions of Fisher's equation with three simple zeros u t = u x x + u ( 1 − u ) ( u − a ) , a ∈ ( 0 , 1 ) , are obtained for the wave speeds C = ± 2 ( 1 2 − a ) suggested by pure analytic considerations. Two types of solutions are obtained: one type is of a permanent wave form whereas the other is not.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:896928

DOI: 10.1155/S0161171290000862

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