In this work we study a generalized Fisher equation with variable coefficients from the point of view of the theory of symmetry reductions in partial differential equations. There is a widespread occurrence of nonlinear phenomena in physics, chemistry and biology. This clearly necessitates a study of conservation laws in depth and of the modeling and analysis involved. We determine the class of these equations which are nonlinearly self-adjoint. By using a general theorem on conservation laws proved by Nail Ibragimov and the symmetry generators we find some conservation laws for some of these partial differential equations without classical Lagrangians.
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