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
Department of Mathematics, The University, Al-Ain, United Arab Emirates
Received 24 January 1989
Copyright © 1990 M. F. K. Abur-Robb. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.