https://doi.org/10.1140/epjp/s13360-020-00667-3
Regular Article
Exact traveling waves for the Fisher’s equation with nonlinear diffusion
Department of Mathematics and Statistics, Washington State University, 99164, Pullman, WA, USA
Received:
7
May
2020
Accepted:
3
August
2020
Published online:
17
August
2020
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, have not been reported in the literature.
Lewa’ Alzaleq and Valipuram Manoranjan have contributed equally to this work.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
