Lie symmetries and conservation laws of non-linear multidimensional reaction–diffusion systems with variable diffusivities

This work is devoted to the classical Lie symmetry analysis of a class of systems of two quasilinear multidimensional reaction-diffusion (RD) equations having variable diffusivities. Moreover, conservation laws for RD systems containing such diffusivities are constructed. Some generalizations of the results to the case of multicomponent RD systems with greater than two components are also presented.