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The reaction diffusion equation arises in physical situations in problemsfrom population growth, genetics and physical sciences. We consider thegeneralised Fisher equation in cylindrical coordinates from Lie theory standpoint. An invariance method is performed and the optimal set of nonequivalentsymmetries is obtained. Finally, the conservation laws are constructed using'multiplier method'. We determine multipliers as functions of the dependent andindependent variables only. The conservation laws are computed and presented interms of conserved vector corresponding to each multiplier.

Optimal System and Conservation Laws for the Generalized Fisher Equation in Cylindrical Coordinates