Lie symmetries and invariants for a 2D nonlinear heat equation Original Research Article

The paper generalizes previous results on the 2D Ricci flow equation in a conformal gauge. It investigates a general form of the 2D nonlinear heat equation and it points out all possible cases where Lie type symmetries, associated invariant quantities and similarity solutions can appear. The connection with the already known results for the 1D problem is obtained.