Explicit solutions of Fisher's equation with three zeros
M. F. K. Abur-Robb1
Received24 Jan 1989
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.