The paper determines the source functions for which a generalized Fisher equation with exponential diffusion in cylindrical coordinates admits Lie symmetries beyond time translation and obtains the reduced ODEs.
Britton, Aggregation and the competitive exclusion principle, J Theor Biol, 136 (1989), pp
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Lie symmetries of a generalized Fisher equation in cylindrical coordinates
The paper determines the source functions for which a generalized Fisher equation with exponential diffusion in cylindrical coordinates admits Lie symmetries beyond time translation and obtains the reduced ODEs.