RT journal article
T1 Classical and potential symmetries for a generalized Fisher equation
A1 Rosa Durán, María
A1 Camacho Moreno, José Carlos
A1 Bruzón Gallego, María de los Santos
A1 Gandarias Núñez, María Luz
A2 Matemáticas
K1 Symmetry reductions
K1 Potential symmetries
K1 Fisher equation
K1 Reaction–diffusion
K1 Partial differential equations
AB In this work, we consider a generalized Fisher equation and we have considered this equation from the point of view of the theory of symmetry reductions in partial differential equations. Generalizations of the Fisher equation are needed to more accurately model complex diffusion and reaction effects found in many biological systems. The reductions to ordinary differential equations are derived from the optimal system of subalgebras and new exact solutions are obtained. The potential system has been achieved from the complete list of the conservation laws. Potential symmetries, which are not local symmetries, are carried out for the generalized Fisher equation, these symmetries lead to the linearization of the equation by non-invertible mappings.
PB Elsevier B.V.
SN 0377-0427
YR 2017
FD 2017
LK http://hdl.handle.net/10498/33843
UL http://hdl.handle.net/10498/33843
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026