Exact traveling waves for the Fisher's equation with nonlinear diffusion

In this paper, the Fisher's equation is studied with three different forms of nonlinear diffusion. When studying population problems, various forms of nonlinear diffusion can capture the effects of crowding or aggregation processes. Exact solutions for such nonlinear problems can be extremely useful to practitioners in the field. The Riccati-Bernoulli sub-ODE method is employed to obtain the exact traveling wave solutions for our nonlinear diffusion equation. The solutions that we find are new and to our knowledge and have not been reported in the literature.