Symmetry analysis of an integrable reaction–diffusion equation

In this paper, we investigate the invariance and integrability properties of an integrable two-component reaction–diffusion equation. We perform Painlevé analysis for both the reaction–diffusion equation modelled by a coupled nonlinear partial differential equations and its general similarity reduced ordinary differential equation and confirm its integrability. Further, we perform Lie symmetry analysis for this model. Interestingly our investigations reveals a rich variety of particular solutions, which have not been reported in the literature, for this model.