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The 2D Ricci flow equation in the conformal gauge is studied using thelinearization approach. Using a non-linear substitution of logarithmic type,the emergent quadratic equation is split in various ways. New special solutionsinvolving arbitrary functions are presented. Some special reductions are alsodiscussed.Comment: 8 pages, latex, no figure

SPECIAL SOLUTIONS FOR RICCI FLOW EQUATION IN 2D USING THE LINEARIZATION APPROACH