| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 759750 | Communications in Nonlinear Science and Numerical Simulation | 2011 | 7 Pages |
A generalized non-linear Fisher equation in cylindrical coordinates with radial symmetry is studied from Lie symmetry point of view. In the classical Fisher equation the reaction diffusion term is replaced with a general function to accommodate more equations of this type. Moreover, the diffusivity is assumed to be a function of the dependent variable to account for many real situations. An attempt is made to classify the diffusivity function and exact solutions are obtained in some cases.
Research highlights► A generalized non-linear Fisher equation in cylindrical coordinates with radial symmetry is studied using Lie point symmetry point of view. ► In the classical Fisher equation the reaction diffusion term is replaced with a general function to accommodate more equations of this type. Moreover, diffusivity is assumed to be a function of the dependent variable to account for many real situations. ► Exact solutions in some cases of the non-linear Fisher equation are obtained.
