Special solutions for Ricci flow equation in 2D using the linearization   approach
  The 2D Ricci flow equation in the conformal gauge is studied using the linearization approach. Using a non-linear substitution of logarithmic type, the emergent quadratic equation is split in various ways. New special solutions involving arbitrary functions are presented. Some special reductions are also discussed. 
Stefan Adrian Carstea, Mihai Visinescu