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Nonclassical symmetries of a class of generalized Huxley equations of form$u_t=u_{xx}+k(x)u^2(1-u)$ are found. More precisely, for the class underconsideration we completely classify reduction operators with $\tau=1$ and givea wide number of examples of equations admitting reduction operators with$\tau=0$.

On nonclassical symmetries of generalized Huxley equations