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.
Ovsiannikov, Group relations of the equation of nonlinear heat conductivity, Dokl Akad Nauk SSSR, 125 (1959), 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.