@misc{10498/30929, year = {2018}, url = {http://hdl.handle.net/10498/30929}, abstract = {In this paper, we consider a generalized Fisher equation with exponential diffusion from the point of view of the theory of symmetry reductions in partial differential equations. The generalized Fisher-type equation arises in the theory of population dynamics. These types of equations have appeared in many fields of study such as in the reaction-diffusion equations, in heat transfer problems, in biology, and in chemical kinetics. By using the symmetry classification, simplified by equivalence transformations, for a special family of Fisher equations, all the reductions are derived from the optimal system of subalgebras and symmetry reductions are used to obtain exact solutions.}, title = {Symmetry analysis for a Fisher equation with exponential diffusion.}, doi = {10.1002/mma.4803}, author = {Gandarias Núñez, María Luz and Rosa Durán, María and Tracinà, Rita}, }