RT journal article
T1 Reductions and symmetries for a generalized Fisher equation with a diffusion term dependent on density and space
A1 Chulian García, Salvador
A1 Rosa Durán, María
A1 Gandarias Núñez, María Luz
A2 Matemáticas
AB In this work, a generalized Fisher equation with a space–density diffusion term is analyzed by applying the theory of symmetry reductions for partial differential equations. The study of this equation is relevant in terms of its applicability in cell dynamics and tumor invasion. Therefore, classical Lie symmetries admitted by the equation are determined. In addition, by using the multipliers method, we derive some nontrivial conservation laws for this equation. Finally we obtain a direct reduction of order of the ordinary differential equations associated and a particular solution.
PB Elsevier
SN 0377-0427
YR 2019
FD 2019-07
LK http://hdl.handle.net/10498/30915
UL http://hdl.handle.net/10498/30915
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026