International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 3, Pages 617-620
doi:10.1155/S0161171290000862

Explicit solutions of Fisher's equation with three zeros

Abstract

Explicit traveling wave solutions of Fisher's equation with three simple zeros ut=uxx+u(1−u)(u−a), a∈(0,1), are obtained for the wave speeds C=±2(12−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.